A044881 Numbers having, in base 10, (sum of even run lengths)=(sum of odd run lengths).
1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1011, 1022, 1033, 1044, 1055, 1066, 1077, 1088, 1099, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1120, 1121, 1123, 1124, 1125, 1126, 1127, 1128, 1129
Offset: 1
Crossrefs
Programs
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Python
from itertools import groupby def ok(n): rl_sums = [0, 0] for k, g in groupby(str(n)): rl = len(list(g)) rl_sums[rl%2] += rl return rl_sums[0] == rl_sums[1] print(list(filter(ok, range(1130)))) # Michael S. Branicky, Sep 11 2021