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.

A365425 The least number with the prime signature of the odd part of A163511(n): a(n) = A046523(A000265(A163511(n))).

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%I A365425 #10 Sep 03 2023 18:21:01
%S A365425 1,1,1,2,1,4,2,2,1,8,4,4,2,6,2,2,1,16,8,8,4,12,4,4,2,12,6,6,2,6,2,2,1,
%T A365425 32,16,16,8,24,8,8,4,36,12,12,4,12,4,4,2,24,12,12,6,30,6,6,2,12,6,6,2,
%U A365425 6,2,2,1,64,32,32,16,48,16,16,8,72,24,24,8,24,8,8,4,72,36,36,12,60,12,12,4,36,12,12,4,12,4,4,2
%N A365425 The least number with the prime signature of the odd part of A163511(n): a(n) = A046523(A000265(A163511(n))).
%H A365425 Antti Karttunen, <a href="/A365425/b365425.txt">Table of n, a(n) for n = 0..16385</a>
%F A365425 a(n) = A336158(A163511(n)) = A046523(A064989(A163511(n))).
%F A365425 For all n >= 1, a(n) = a(2*n) = a(A000265(n)).
%o A365425 (PARI)
%o A365425 A000265(n) = (n>>valuation(n,2));
%o A365425 A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); }; \\ From A046523
%o A365425 A163511(n) = if(!n, 1, my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
%o A365425 A365425(n) = A046523(A000265(A163511(n)));
%Y A365425 Cf. A000265, A046523, A064989, A163511, A336158.
%Y A365425 Cf. also A278531.
%K A365425 nonn
%O A365425 0,4
%A A365425 _Antti Karttunen_, Sep 03 2023