Blackapple, You asked for it, you got it!!! Here it is. Pick 4 Doubles broken down by ROOT SUMS. The double # is listed first to make it easy to see. Root sums are THE way to go in Pick 3 & 4.
ROOT SUM 1
0019, 0028, 0037, 0046, 1108, 1126, 1135, 1189, 2206, 2215, 2269, 2278, 3304, 3349, 3358, 3367, 4402, 4429, 4438, 4456, 5509, 5518, 5527, 5536, 6607, 6625, 6634, 6679, 7705, 7714, 7723, 7759, 7768, 8803, 8812, 8839, 8857, 9901, 9928, 9937, 9946, 41#'S
ROOT SUM 2
0029, 0038, 0047, 0056, 1109, 1127, 1136, 1145, 2207, 2216, 2234, 2279, 3305, 3314, 3359, 3368, 4403, 4412, 4439, 4457, 5501, 5519, 5528, 5537, 5546, 6608, 6617, 6635, 6689, 7706, 7715, 7724, 7769, 8804, 8813, 8849, 8867, 9902, 9938, 9947, 9956, 41#'S
ROOT SUM 3
0012, 0039, 0048, 0057, 1128, 1137, 1146, 2208, 2217, 2235, 2289, 3306, 3315, 3324, 3369, 3378, 4413, 4458, 4467, 5502, 5529, 5538, 5547, 6609, 6618, 6627, 6645, 7716, 7725, 7734, 8805, 8814, 8823, 8859, 9903, 9912, 9948, 9957, 38#'S
ROOT SUM 4
0013, 0049, 0058, 0067, 1102, 1129, 1138, 1147, 1156, 2209, 2218, 2236, 2245, 3307, 3316, 3325, 3379, 4405, 4423, 4459, 4468, 5503, 5512, 5539, 5548, 6601, 6619, 6628, 6637, 7708, 7726, 7735, 7789, 8806, 8815, 8824, 8869, 9904, 9913, 9958, 9967, 41#'S
ROOT SUM 5
0014, 0023, 0059, 0068, 1103, 1139, 1148, 1157, 2201, 2219, 2237, 2246, 3308, 3317, 3326, 3389, 4406, 4415, 4469, 4478, 5504, 5513, 5549, 5567, 6602, 6629, 6638, 6647, 7709, 7718, 7736, 7745, 8807, 8816, 8825, 8834, 8879, 9905, 9914, 9923, 9968, 41#'S
ROOT SUM 6
0015, 0024, 0069, 0078, 1104' 1149, 1158, 1167, 2238, 2247, 2256, 3309, 3318, 3327, 3345, 4407, 4416, 4425, 4479, 5514, 5523, 5568, 6603, 6612, 6639, 6648, 6657, 7701, 7719, 7728, 7748, 8817, 8826, 8835, 9906, 9915, 9924, 9978, 38#'S
ROOT SUM 7
0016, 0025, 0034, 0079, 1105, 1123, 1159, 1168, 2203, 2239, 2248, 2257, 3301, 3319, 3328, 3346, 4408, 4417, 4426, 4435, 4489, 5506, 5524, 5569, 5578, 6604, 6613, 6649, 6658, 7702, 7729, 7738, 7756, 8809, 8827, 8839, 8845, 9907, 9916, 9925, 9934, 41#'S
ROOT SUM 8
0017, 0026, 0035, 0089, 1106, 1124, 1169, 1178, 2204, 2213, 2249, 2258, 2267, 3302, 3329, 3347, 3356, 4409, 4418, 4427, 4436, 5507, 5516, 5534, 5579, 6605, 6614, 6623, 6659, 7703, 7712, 7739, 7748, 8801, 8819, 8837, 8846, 9908, 9917, 9926, 9935, 41#'S
ROOT SUMS 9
0018, 0027, 0036, 0045, 1107, 1125, 1134, 1179, 2205, 2214, 2259, 2268, 3312, 3348, 3357, 4401, 4419, 4428, 4437, 5508, 5517, 5526, 5589, 6615, 6624, 6678, 7704, 7713, 7749, 7758, 8802, 8829, 8847, 8856, 9918, 9927, 9936, 9945, 38#'S