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.

A328581 Product of nonzero digits in primorial base expansion of n.

This page as a plain text file.
%I A328581 #10 Mar 06 2024 01:01:26
%S A328581 1,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,4,4,3,3,3,3,6,6,4,4,4,4,8,8,1,1,1,1,
%T A328581 2,2,1,1,1,1,2,2,2,2,2,2,4,4,3,3,3,3,6,6,4,4,4,4,8,8,2,2,2,2,4,4,2,2,
%U A328581 2,2,4,4,4,4,4,4,8,8,6,6,6,6,12,12,8,8,8,8,16,16,3,3,3,3,6,6,3,3,3,3,6,6,6,6,6,6
%N A328581 Product of nonzero digits in primorial base expansion of n.
%C A328581 a(0) = 1 as an empty product.
%H A328581 Antti Karttunen, <a href="/A328581/b328581.txt">Table of n, a(n) for n = 0..32768</a>
%H A328581 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>.
%F A328581 a(n) = A005361(A276086(n)).
%t A328581 a[n_] := Module[{k = n, p = 2, s = 1, r}, While[{k, r} = QuotientRemainder[k, p]; k != 0 || r != 0, If[r > 0, s *= r]; p = NextPrime[p]]; s]; Array[a, 100, 0] (* _Amiram Eldar_, Mar 06 2024 *)
%o A328581 (PARI) A328581(n) = { my(m=1, p=2); while(n, if(n%p, m *= (n%p)); n = n\p; p = nextprime(1+p)); (m); };
%Y A328581 Cf. A005361, A049345, A276086, A324655, A328582.
%Y A328581 Cf. A276156 (positions of 1's).
%Y A328581 Cf. also A227153 (an analogous sequence).
%K A328581 nonn,base
%O A328581 0,5
%A A328581 _Antti Karttunen_, Oct 21 2019