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.

A351450 a(n) = A064989(A048250(A003961(n))).

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%I A351450 #14 Feb 12 2022 20:30:16
%S A351450 1,1,2,1,1,2,2,1,2,1,5,2,4,2,2,1,3,2,2,1,4,5,6,2,1,4,2,2,1,2,17,1,10,
%T A351450 3,2,2,10,2,8,1,7,4,2,5,2,6,8,2,2,1,6,4,6,2,5,2,4,1,29,2,13,17,4,1,4,
%U A351450 10,4,3,12,2,31,2,3,10,2,2,10,8,10,1,2,7,12,4,3,2,2,5,25,2,8,6,34,8,2
%N A351450 a(n) = A064989(A048250(A003961(n))).
%H A351450 Antti Karttunen, <a href="/A351450/b351450.txt">Table of n, a(n) for n = 1..20000</a>
%H A351450 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>
%F A351450 Multiplicative with a(p^e) = A064989(q+1), where q = nextPrime(p) = A151800(p).
%F A351450 a(n) = A064989(A048250(A003961(n))).
%o A351450 (PARI)
%o A351450 A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
%o A351450 A048250(n) = factorback(apply(p -> p+1,factor(n)[,1]));
%o A351450 A064989(n) = { my(f = factor(n>>valuation(n,2))); for(i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f); };
%o A351450 A351450(n) = A064989(A048250(A003961(n)));
%Y A351450 Cf. A003961, A048250, A064989, A151800, A351449, A351451 [= a(A055231(n))].
%Y A351450 Cf. also A351441.
%K A351450 nonn,mult
%O A351450 1,3
%A A351450 _Antti Karttunen_, Feb 11 2022