cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A085124 Smallest multiple of n whose digital product is also a multiple of n, or 0 if no such number exists.

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%I A085124 #17 Sep 20 2024 11:54:55
%S A085124 1,2,3,4,5,6,7,8,9,0,0,168,0,378,135,48,0,36,0,0,273,0,0,168,525,0,
%T A085124 999,476,0,0,0,288,0,0,175,1296,0,0,0,0,0,378,0,0,495,0,0,384,3577,0,
%U A085124 0,0,0,1296,0,728,0,0,0,0,0,0,1197,448,0,0,0,0,0,0,0,1368,0,0,3525,0,0,0,0,0
%N A085124 Smallest multiple of n whose digital product is also a multiple of n, or 0 if no such number exists.
%C A085124 a(n) = 0 if n is not a term of A002473 (i.e., not a 7-smooth number).
%C A085124 a(n) = 0 if n is a multiple of 10.
%C A085124 Conjecture: otherwise, a(n) is positive.
%C A085124 Sequence may be redefined to avoid large number of zeros by restricting it to members of A002473 which are not divisible by 10.
%Y A085124 Cf. A002473.
%K A085124 base,nonn
%O A085124 1,2
%A A085124 _Amarnath Murthy_, Jul 06 2003
%E A085124 More terms from _David Wasserman_, Jan 27 2005
%E A085124 Comments edited by _Jon E. Schoenfield_, Mar 30 2014