[seqfan] Add k successive digits and divide by k

[Éric Angelini]

Hello SeqFans,
Add three successive digits; the result is divisible by 3:
1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 31, 20, 15, 34, 23, 18, 37, 26, 42, 61, 29, 45, 64, 50, 48, 67, 53, 72, 91, 56, 75,...
Add four successive digits; the result is divisible by 4:
1, 2, 3, 6, 5, 23, 21, 27, 25, 63, 29, 67, 61, 232, 9, 236, 12, 7, 65, 272, 16, 32, 52, 36, 56, 72, 92, 76, 96, 321,...
Add five successive digits; the result is divisible by 5:
1, 2, 3, 4, 5, 6, 7, 8, 9, 51, 23, 40, 12, 34, 56, 28, 45, 17, 39, 512, 84, 517, 89, 562, 340, 62, 345, 67, 390, 123,...
Add six successive digits; the result is divisible by 6:
1, 2, 3, 4, 5, 9, 7, 8, 34, 53, 12, 94, 59, 18, 345, 31, 23, 45, 37, 29, 453, 72, 945, 91, 83, 459, 78, 3453, 123,...
Etc.
Best,
É.