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.

A351038 Numbers whose maximal digit in their primorial base expansion is not larger than the maximal exponent in their prime factorization.

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%I A351038 #23 Feb 04 2024 09:02:12
%S A351038 2,3,4,6,7,8,9,12,16,30,31,32,33,36,37,38,39,40,44,45,48,60,63,64,68,
%T A351038 72,75,76,80,81,96,104,108,112,128,144,160,192,210,211,212,213,216,
%U A351038 217,218,219,220,224,225,232,240,241,242,243,244,245,246,247,248,249,250,252,256,270,272,275,276,279,280,284,288,304
%N A351038 Numbers whose maximal digit in their primorial base expansion is not larger than the maximal exponent in their prime factorization.
%C A351038 Numbers k for which A328114(k) <= A051903(k).
%C A351038 Numbers such that when the map x -> A276086(x) is applied to them, the maximal exponent in the prime factorization (A051903) doesn't increase.
%H A351038 Antti Karttunen, <a href="/A351038/b351038.txt">Table of n, a(n) for n = 1..28472; terms <= 9699690</a>
%H A351038 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%o A351038 (PARI)
%o A351038 A051903(n) = if((1==n),0,vecmax(factor(n)[, 2]));
%o A351038 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A351038 isA351038(n) = (A051903(A276086(n)) <= A051903(n));
%Y A351038 Cf. A051903, A276086, A328114, A351039 (characteristic function), A351069 and A351070 (counts).
%Y A351038 Positions of nonpositive terms in A350074.
%Y A351038 Subsequences: A350075, A351075, also A369645 (after its initial 1).
%Y A351038 Cf. also A341518.
%K A351038 nonn,base
%O A351038 1,1
%A A351038 _Antti Karttunen_, Feb 01 2022