A337208 Indices m of repunits R_m that are Colombian (or self) numbers.

1, 4, 6, 17, 28, 39, 50, 61, 72, 83, 94, 109, 120, 131, 142, 153, 164, 175, 186, 197, 199, 210, 221, 232, 243, 254, 265, 276, 287, 298, 300, 311, 322, 333, 344, 355, 366, 377, 388, 399, 401, 412, 423, 434, 445, 456, 467, 478, 489, 500, 502, 513, 524, 535, 546, 557

Offset: 1

Author

David A. Corneth, Aug 19 2020

Keywords

• nonn
• base

Links

• David A. Corneth, Table of n, a(n) for n = 1..10000
• Shyam Sunder Gupta, On Some Marvellous Numbers of Kaprekar, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 9, 275-315.

Crossrefs

Cf. A002275 (repunits), A003052 (Colombian (or self)), A004022 (repunit primes), A004023 (indices of repunit primes), complement of A337139.

Programs

PARI

upto(n)= {my(res = List()); for(i = 1, n, if(is(i), listput(res, i); print1(i", "))); res}
is(n) = {c = 10^n \ 9; is_A003052(c)}
is_A003052(n)={for(i=1, min(n\2, 9*#digits(n)), sumdigits(n-i)==i && return); n} \\ from M. F. Hasler, Mar 20 2011