A061972 Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 19 (most significant digit on right).

1, 3, 9, 27, 33, 36, 81, 183, 223, 261, 263, 351, 585, 1035, 1092, 1173, 1732, 2235, 2628, 3492, 8577, 11592, 13617, 15663, 20664, 20709, 23333, 25848, 52689, 67608, 334536, 837112, 2765341, 5319444

Offset: 1

Author

Larry Reeves (larryr(AT)acm.org), May 24 2001

Keywords

• nonn
• base
• more

Comments

This sequence differs from A029536 in that all least significant zeros are kept during concatenation.

No more terms < 7*10^6.

Examples

			See A061955 for example.
		

Links

• Index entries for related sequences

Crossrefs

Cf. A029447-A029470, A029471-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

Programs

Mathematica

b = 19; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[Reverse[IntegerDigits[#, b]], c], b], #] &] (* Robert Price, Mar 09 2020 *)

Extensions

Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002

a(32)-a(34) from Lars Blomberg, Jul 31 2011