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.

A329897 Numbers k for which the 2-adic and 3-adic valuations of A025487(k) are equal, where A025487(k) is the k-th number which is a product of primorial numbers.

This page as a plain text file.
%I A329897 #21 Jul 28 2023 04:05:37
%S A329897 1,4,9,11,20,22,23,38,41,43,44,54,69,72,73,77,79,93,110,114,118,123,
%T A329897 124,128,129,131,147,154,181,186,190,191,199,201,208,209,212,232,242,
%U A329897 245,246,272,279,286,294,299,300,307,310,312,321,324,327,345,359,371,374,376,416,424,425,430,434,442,446,451,454,466,469
%N A329897 Numbers k for which the 2-adic and 3-adic valuations of A025487(k) are equal, where A025487(k) is the k-th number which is a product of primorial numbers.
%C A329897 Numbers k for which A007814(A025487(k)) = A007949(A025487(k)).
%C A329897 Numbers k for which A181815(k) is odd.
%H A329897 Antti Karttunen, <a href="/A329897/b329897.txt">Table of n, a(n) for n = 1..7806</a>
%t A329897 s = {1}; k = 1; Do[If[GreaterEqual @@ (f = FactorInteger[n])[[;; , 2]] && PrimePi[f[[-1, 1]]] == Length[f], k++; If[Equal @@ IntegerExponent[n, {2, 3}], AppendTo[s, k]]], {n, 2, 10^5}]; s (* _Amiram Eldar_, Jul 28 2023 *)
%Y A329897 Cf. A007814, A007949, A025487, A329898 (complement), A330682 (characteristic function).
%Y A329897 Sequence A330683 sorted into ascending order.
%Y A329897 Positions of odd terms in A181815.
%K A329897 nonn
%O A329897 1,2
%A A329897 _Antti Karttunen_, Dec 24 2019