A061976 - OEIS

A061976

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 23 (most significant digit on right).

1, 11, 44, 77, 143, 1364, 7372, 18131, 22151, 198967, 275464, 371731, 544005, 849277, 1684689, 2001879, 2895915, 3678653, 4479352, 5673591, 6624420, 6895647

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OFFSET

1,2

COMMENTS

This sequence differs from A029540 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..22.

Index entries for related sequences

EXAMPLE

See A061955 for example.

MATHEMATICA

b = 23; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[Reverse[IntegerDigits[#, b]], c], b], #] &] (* Robert Price, Mar 09 2020 *)

PROG

(PARI) lista(nn, m=23) = 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: A201991 A010819 A022703 * A070930 A033584 A248126

Adjacent sequences: A061973 A061974 A061975 * A061977 A061978 A061979

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; Aug 25 2002

a(14)-a(22) from Lars Blomberg, Jul 25 2011

STATUS

approved