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.

A337346 Number of proper divisors d of n for which A003961(d) > 2*d.

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%I A337346 #8 Aug 27 2020 08:57:43
%S A337346 0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,2,0,2,0,0,0,4,0,0,1,2,0,3,0,3,0,0,
%T A337346 0,5,0,0,0,4,0,3,0,1,2,0,0,6,0,1,0,1,0,4,0,4,0,0,0,7,0,0,2,4,0,1,0,1,
%U A337346 0,3,0,8,0,0,1,1,0,2,0,6,2,0,0,7,0,0,0,3,0,7,0,1,0,0,0,8,0,2,1,4,0,1,0,3,3
%N A337346 Number of proper divisors d of n for which A003961(d) > 2*d.
%C A337346 Number of terms of A246282 less than n that divide n.
%C A337346 Number of proper divisors d of n for which A048673(d) > d.
%H A337346 Antti Karttunen, <a href="/A337346/b337346.txt">Table of n, a(n) for n = 1..65537</a>
%H A337346 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>
%F A337346 a(n) = Sum_{d|n, d<n} A252742(d).
%F A337346 a(n) = A337345(n) - A252742(n).
%o A337346 (PARI)
%o A337346 A003961(n) = { my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); };
%o A337346 A337346(n) = sumdiv(n,d,(d<n)&&(A003961(d)>(d+d)));
%Y A337346 Cf. A003961, A048673, A246282, A252742, A337345, A337372.
%Y A337346 Cf. also A294929.
%K A337346 nonn
%O A337346 1,12
%A A337346 _Antti Karttunen_, Aug 27 2020