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.

A286590 Numbers that are divisible by the product of their factorial base digits (A208575).

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%I A286590 #21 Feb 16 2021 04:33:26
%S A286590 1,3,9,21,33,45,81,153,165,201,393,405,441,645,873,885,921,1113,1125,
%T A286590 1161,1365,2313,2565,3765,4005,5913,5925,5961,6153,6165,6201,6405,
%U A286590 7353,7641,8805,9045,15993,16281,17433,26085,26325,36393,36645,46233,46245,46281,46473,46485,46521,46725,47673
%N A286590 Numbers that are divisible by the product of their factorial base digits (A208575).
%C A286590 After the initial 1, all terms are multiples of three.
%H A286590 Amiram Eldar, <a href="/A286590/b286590.txt">Table of n, a(n) for n = 1..500</a> (terms 1..120 from Antti Karttunen)
%H A286590 <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
%t A286590 max = 8; Select[Range[max!], FreeQ[(d = IntegerDigits[#, MixedRadix[Range[max, 2, -1]]]), 0] && Divisible[#, Times @@ d] &] (* _Amiram Eldar_, Feb 16 2021 *)
%o A286590 (Scheme, with _Antti Karttunen_'s IntSeq-library)
%o A286590 (define A286590 (MATCHING-POS 1 1 (lambda (n) (let ((k (A208575 n))) (and (not (zero? k)) (zero? (modulo n k)))))))
%Y A286590 Cf. A007489 (a subsequence), A208575, A118363.
%Y A286590 Cf. A007602 (for base-10 analog).
%K A286590 nonn,base
%O A286590 1,2
%A A286590 _Antti Karttunen_, Jun 18 2017