%I #14 Feb 08 2023 13:17:04
%S 1,2,3,4,5,6,7,8,9,910,0,912,11713,6314,915,3616,15317,918,17119,9920,
%T 18921,9922,82823,19824,9925,46826,18927,18928,78329,99930,585931,
%U 388832,1098933,198934,289835,99936,99937,478838,198939,1999840
%N a(n) is the smallest multiple of n such that a(n) mod 100 = n and S(n)=n where S(n) is the sum of the base-ten digits of n, or 0 if no such a(n) exists.
%C The modulo requirements means values up to n=99 can be computed. - _R. J. Mathar_, Feb 08 2023
%D Sandro Boscaro, Nivenmorphic Integers, Journal of Recreational Mathematics, Vol. 28 (1996-97), Number 3, pp. 201-205.
%H <a href="/index/Ar#automorphic">Index entries for sequences related to automorphic numbers</a>
%e a(10)=910 since 10 divides 910, 9 + 1 + 0 = 10 and 910 ends with 10.
%Y Cf. A005349, A187924.
%K nonn,base,fini
%O 1,2
%A Sandro Boscaro (sboscaro(AT)libero.it), Sep 06 2002
%E Edited by _Matthew Conroy_, Oct 21 2002