Here a cleaned-up CRUNCH 2 table of all the possible Even/Odd Neighbor Numbers...
Even/Odd Neighbor Number: 000(8)
000, 001, 010, 011, 100, 101, 110, 111
Even/Odd Neighbor Number: 001(8)
002, 003, 012, 013, 102, 103, 112, 113
Even/Odd Neighbor Number: 002(8)
004, 005, 014, 015, 104, 105, 114, 115
Even/Odd Neighbor Number: 003(8)
006, 007, 016, 017, 106, 107, 116, 117
Even/Odd Neighbor Number: 004(8)
008, 009, 018, 019, 108, 109, 118, 119
Even/Odd Neighbor Number: 010(8)
020, 021, 030, 031, 120, 121, 130, 131
Even/Odd Neighbor Number: 011(8)
022, 023, 032, 033, 122, 123, 132, 133
Even/Odd Neighbor Number: 012(8)
024, 025, 034, 035, 124, 125, 134, 135
Even/Odd Neighbor Number: 013(8)
026, 027, 036, 037, 126, 127, 136, 137
Even/Odd Neighbor Number: 014(8)
028, 029, 038, 039, 128, 129, 138, 139
Even/Odd Neighbor Number: 020(8)
040, 041, 050, 051, 140, 141, 150, 151
Even/Odd Neighbor Number: 021(8)
042, 043, 052, 053, 142, 143, 152, 153
Even/Odd Neighbor Number: 022(8)
044, 045, 054, 055, 144, 145, 154, 155
Even/Odd Neighbor Number: 023(8)
046, 047, 056, 057, 146, 147, 156, 157
Even/Odd Neighbor Number: 024(8)
048, 049, 058, 059, 148, 149, 158, 159
Even/Odd Neighbor Number: 030(8)
060, 061, 070, 071, 160, 161, 170, 171
Even/Odd Neighbor Number: 031(8)
062, 063, 072, 073, 162, 163, 172, 173
Even/Odd Neighbor Number: 032(8)
064, 065, 074, 075, 164, 165, 174, 175
Even/Odd Neighbor Number: 033(8)
066, 067, 076, 077, 166, 167, 176, 177
Even/Odd Neighbor Number: 034(8)
068, 069, 078, 079, 168, 169, 178, 179
Even/Odd Neighbor Number: 040(8)
080, 081, 090, 091, 180, 181, 190, 191
Even/Odd Neighbor Number: 041(8)
082, 083, 092, 093, 182, 183, 192, 193
Even/Odd Neighbor Number: 042(8)
084, 085, 094, 095, 184, 185, 194, 195
Even/Odd Neighbor Number: 043(8)
086, 087, 096, 097, 186, 187, 196, 197
Even/Odd Neighbor Number: 044(8)
088, 089, 098, 099, 188, 189, 198, 199
Even/Odd Neighbor Number: 100(8)
200, 201, 210, 211, 300, 301, 310, 311
Even/Odd Neighbor Number: 101(8)
202, 203, 212, 213, 302, 303, 312, 313
Even/Odd Neighbor Number: 102(8)
204, 205, 214, 215, 304, 305, 314, 315
Even/Odd Neighbor Number: 103(8)
206, 207, 216, 217, 306, 307, 316, 317
Even/Odd Neighbor Number: 104(8)
208, 209, 218, 219, 308, 309, 318, 319
Even/Odd Neighbor Number: 110(8)
220, 221, 230, 231, 320, 321, 330, 331
Even/Odd Neighbor Number: 111(8)
222, 223, 232, 233, 322, 323, 332, 333
Even/Odd Neighbor Number: 112(8)
224, 225, 234, 235, 324, 325, 334, 335
Even/Odd Neighbor Number: 113(8)
226, 227, 236, 237, 326, 327, 336, 337
Even/Odd Neighbor Number: 114(8)
228, 229, 238, 239, 328, 329, 338, 339
Even/Odd Neighbor Number: 120(8)
240, 241, 250, 251, 340, 341, 350, 351
Even/Odd Neighbor Number: 121(8)
242, 243, 252, 253, 342, 343, 352, 353
Even/Odd Neighbor Number: 122(8)
244, 245, 254, 255, 344, 345, 354, 355
Even/Odd Neighbor Number: 123(8)
246, 247, 256, 257, 346, 347, 356, 357
Even/Odd Neighbor Number: 124(8)
248, 249, 258, 259, 348, 349, 358, 359
Even/Odd Neighbor Number: 130(8)
260, 261, 270, 271, 360, 361, 370, 371
Even/Odd Neighbor Number: 131(8)
262, 263, 272, 273, 362, 363, 372, 373
Even/Odd Neighbor Number: 132(8)
264, 265, 274, 275, 364, 365, 374, 375
Even/Odd Neighbor Number: 133(8)
266, 267, 276, 277, 366, 367, 376, 377
Even/Odd Neighbor Number: 134(8)
268, 269, 278, 279, 368, 369, 378, 379
Even/Odd Neighbor Number: 140(8)
280, 281, 290, 291, 380, 381, 390, 391
Even/Odd Neighbor Number: 141(8)
282, 283, 292, 293, 382, 383, 392, 393
Even/Odd Neighbor Number: 142(8)
284, 285, 294, 295, 384, 385, 394, 395
Even/Odd Neighbor Number: 143(8)
286, 287, 296, 297, 386, 387, 396, 397
Even/Odd Neighbor Number: 144(8)
288, 289, 298, 299, 388, 389, 398, 399
Even/Odd Neighbor Number: 200(8)
400, 401, 410, 411, 500, 501, 510, 511
Even/Odd Neighbor Number: 201(8)
402, 403, 412, 413, 502, 503, 512, 513
Even/Odd Neighbor Number: 202(8)
404, 405, 414, 415, 504, 505, 514, 515
Even/Odd Neighbor Number: 203(8)
406, 407, 416, 417, 506, 507, 516, 517
Even/Odd Neighbor Number: 204(8)
408, 409, 418, 419, 508, 509, 518, 519
Even/Odd Neighbor Number: 210(8)
420, 421, 430, 431, 520, 521, 530, 531
Even/Odd Neighbor Number: 211(8)
422, 423, 432, 433, 522, 523, 532, 533
Even/Odd Neighbor Number: 212(8)
424, 425, 434, 435, 524, 525, 534, 535
Even/Odd Neighbor Number: 213(8)
426, 427, 436, 437, 526, 527, 536, 537
Even/Odd Neighbor Number: 214(8)
428, 429, 438, 439, 528, 529, 538, 539
Even/Odd Neighbor Number: 220(8)
440, 441, 450, 451, 540, 541, 550, 551
Even/Odd Neighbor Number: 221(8)
442, 443, 452, 453, 542, 543, 552, 553
Even/Odd Neighbor Number: 222(8)
444, 445, 454, 455, 544, 545, 554, 555
Even/Odd Neighbor Number: 223(8)
446, 447, 456, 457, 546, 547, 556, 557
Even/Odd Neighbor Number: 224(8)
448, 449, 458, 459, 548, 549, 558, 559
Even/Odd Neighbor Number: 230(8)
460, 461, 470, 471, 560, 561, 570, 571
Even/Odd Neighbor Number: 231(8)
462, 463, 472, 473, 562, 563, 572, 573
Even/Odd Neighbor Number: 232(8)
464, 465, 474, 475, 564, 565, 574, 575
Even/Odd Neighbor Number: 233(8)
466, 467, 476, 477, 566, 567, 576, 577
Even/Odd Neighbor Number: 234(8)
468, 469, 478, 479, 568, 569, 578, 579
Even/Odd Neighbor Number: 240(8)
480, 481, 490, 491, 580, 581, 590, 591
Even/Odd Neighbor Number: 241(8)
482, 483, 492, 493, 582, 583, 592, 593
Even/Odd Neighbor Number: 242(8)
484, 485, 494, 495, 584, 585, 594, 595
Even/Odd Neighbor Number: 243(8)
486, 487, 496, 497, 586, 587, 596, 597
Even/Odd Neighbor Number: 244(8)
488, 489, 498, 499, 588, 589, 598, 599
Even/Odd Neighbor Number: 300(8)
600, 601, 610, 611, 700, 701, 710, 711
Even/Odd Neighbor Number: 301(8)
602, 603, 612, 613, 702, 703, 712, 713
Even/Odd Neighbor Number: 302(8)
604, 605, 614, 615, 704, 705, 714, 715
Even/Odd Neighbor Number: 303(8)
606, 607, 616, 617, 706, 707, 716, 717
Even/Odd Neighbor Number: 304(8)
608, 609, 618, 619, 708, 709, 718, 719
Even/Odd Neighbor Number: 310(8)
620, 621, 630, 631, 720, 721, 730, 731
Even/Odd Neighbor Number: 311(8)
622, 623, 632, 633, 722, 723, 732, 733
Even/Odd Neighbor Number: 312(8)
624, 625, 634, 635, 724, 725, 734, 735
Even/Odd Neighbor Number: 313(8)
626, 627, 636, 637, 726, 727, 736, 737
Even/Odd Neighbor Number: 314(8)
628, 629, 638, 639, 728, 729, 738, 739
Even/Odd Neighbor Number: 320(8)
640, 641, 650, 651, 740, 741, 750, 751
Even/Odd Neighbor Number: 321(8)
642, 643, 652, 653, 742, 743, 752, 753
Even/Odd Neighbor Number: 322(8)
644, 645, 654, 655, 744, 745, 754, 755
Even/Odd Neighbor Number: 323(8)
646, 647, 656, 657, 746, 747, 756, 757
Even/Odd Neighbor Number: 324(8)
648, 649, 658, 659, 748, 749, 758, 759
Even/Odd Neighbor Number: 330(8)
660, 661, 670, 671, 760, 761, 770, 771
Even/Odd Neighbor Number: 331(8)
662, 663, 672, 673, 762, 763, 772, 773
Even/Odd Neighbor Number: 332(8)
664, 665, 674, 675, 764, 765, 774, 775
Even/Odd Neighbor Number: 333(8)
666, 667, 676, 677, 766, 767, 776, 777
Even/Odd Neighbor Number: 334(8)
668, 669, 678, 679, 768, 769, 778, 779
Even/Odd Neighbor Number: 340(8)
680, 681, 690, 691, 780, 781, 790, 791
Even/Odd Neighbor Number: 341(8)
682, 683, 692, 693, 782, 783, 792, 793
Even/Odd Neighbor Number: 342(8)
684, 685, 694, 695, 784, 785, 794, 795
Even/Odd Neighbor Number: 343(8)
686, 687, 696, 697, 786, 787, 796, 797
Even/Odd Neighbor Number: 344(8)
688, 689, 698, 699, 788, 789, 798, 799
Even/Odd Neighbor Number: 400(8)
800, 801, 810, 811, 900, 901, 910, 911
Even/Odd Neighbor Number: 401(8)
802, 803, 812, 813, 902, 903, 912, 913
Even/Odd Neighbor Number: 402(8)
804, 805, 814, 815, 904, 905, 914, 915
Even/Odd Neighbor Number: 403(8)
806, 807, 816, 817, 906, 907, 916, 917
Even/Odd Neighbor Number: 404(8)
808, 809, 818, 819, 908, 909, 918, 919
Even/Odd Neighbor Number: 410(8)
820, 821, 830, 831, 920, 921, 930, 931
Even/Odd Neighbor Number: 411(8)
822, 823, 832, 833, 922, 923, 932, 933
Even/Odd Neighbor Number: 412(8)
824, 825, 834, 835, 924, 925, 934, 935
Even/Odd Neighbor Number: 413(8)
826, 827, 836, 837, 926, 927, 936, 937
Even/Odd Neighbor Number: 414(8)
828, 829, 838, 839, 928, 929, 938, 939
Even/Odd Neighbor Number: 420(8)
840, 841, 850, 851, 940, 941, 950, 951
Even/Odd Neighbor Number: 421(8)
842, 843, 852, 853, 942, 943, 952, 953
Even/Odd Neighbor Number: 422(8)
844, 845, 854, 855, 944, 945, 954, 955
Even/Odd Neighbor Number: 423(8)
846, 847, 856, 857, 946, 947, 956, 957
Even/Odd Neighbor Number: 424(8)
848, 849, 858, 859, 948, 949, 958, 959
Even/Odd Neighbor Number: 430(8)
860, 861, 870, 871, 960, 961, 970, 971
Even/Odd Neighbor Number: 431(8)
862, 863, 872, 873, 962, 963, 972, 973
Even/Odd Neighbor Number: 432(8)
864, 865, 874, 875, 964, 965, 974, 975
Even/Odd Neighbor Number: 433(8)
866, 867, 876, 877, 966, 967, 976, 977
Even/Odd Neighbor Number: 434(8)
868, 869, 878, 879, 968, 969, 978, 979
Even/Odd Neighbor Number: 440(8)
880, 881, 890, 891, 980, 981, 990, 991
Even/Odd Neighbor Number: 441(8)
882, 883, 892, 893, 982, 983, 992, 993
Even/Odd Neighbor Number: 442(8)
884, 885, 894, 895, 984, 985, 994, 995
Even/Odd Neighbor Number: 443(8)
886, 887, 896, 897, 986, 987, 996, 997
Even/Odd Neighbor Number: 444(8)
888, 889, 898, 899, 988, 989, 998, 999
Good Luck!