A061975 Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 22 (most significant digit on right).

1, 3, 7, 9, 21, 31, 63, 751, 1743, 2205, 12345, 16689, 20111, 26607, 32247, 119595, 437829, 2834567

Offset

1,2

Comments

This sequence differs from A029539 in that all least significant zeros are kept during concatenation.

No more terms < 7*10^6. - Lars Blomberg, Jul 25 2011

Links

Table of n, a(n) for n=1..18.

Index entries for related sequences

Example

See A061955 for example.

Mathematica

b = 22; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[Reverse[IntegerDigits[#, b]], c], b], #] &] (* Robert Price, Mar 09 2020 *)

Prog

(PARI) lista(nn, m=22) = my(c, t); for(k=1, nn, t+=m^c*fromdigits(Vecrev(digits(k, m)), m); c+=logint(m*k, m); if(t%k==0, print1(k, ", "))); \\ Jinyuan Wang, Dec 05 2020

Crossrefs

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

Sequence in context: A133027 A018522 A018326 * A003547 A029491 A018458

Adjacent sequences: A061972 A061973 A061974 * A061976 A061977 A061978

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(17)-a(18) from Lars Blomberg, Jul 25 2011

Status

approved