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

1,2

Comments

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

No more terms < 7*10^6.

Links

Table of n, a(n) for n=1..34.

Index entries for related sequences

Example

See A061955 for example.

Mathematica

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

Crossrefs

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

Sequence in context: A349929 A111117 A018675 * A029454 A095309 A191126

Adjacent sequences: A061969 A061970 A061971 * A061973 A061974 A061975

Keyword

nonn,base,more

Author

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

Extensions

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

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

Status

approved