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.

A363407 Sum of divisors of 4*n-3 of form 4*k+3.

This page as a plain text file.
%I A363407 #17 Jul 08 2023 08:04:51
%S A363407 0,0,3,0,0,10,0,0,14,0,0,18,7,0,22,0,0,26,0,18,30,0,0,34,0,0,60,0,0,
%T A363407 42,11,0,46,26,0,50,0,0,54,0,30,84,0,0,62,0,0,100,0,0,70,0,30,74,38,0,
%U A363407 93,0,0,82,0,42,86,34,0,90,0,0,140,0,0,132,0,0,140,50,0,106,0,0,110,0,54,114,0,42,156
%N A363407 Sum of divisors of 4*n-3 of form 4*k+3.
%F A363407 a(n) = A050452(4*n-3).
%F A363407 G.f.: Sum_{k>0} (4*k-1) * x^(3*k) / (1 - x^(4*k-1)).
%t A363407 a[n_] := DivisorSum[4*n - 3, # &, Mod[#, 4] == 3 &]; Array[a, 100] (* _Amiram Eldar_, Jul 08 2023 *)
%o A363407 (PARI) a(n) = sumdiv(4*n-3, d, (d%4==3)*d);
%Y A363407 Cf. A050452, A359240, A364084.
%K A363407 nonn
%O A363407 1,3
%A A363407 _Seiichi Manyama_, Jul 08 2023