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.
%I A359240 #16 Aug 23 2023 08:41:52 %S A359240 0,0,1,0,0,2,0,0,2,0,0,2,1,0,2,0,0,2,0,2,2,0,0,2,0,0,4,0,0,2,1,0,2,2, %T A359240 0,2,0,0,2,0,2,4,0,0,2,0,0,4,0,0,2,0,2,2,2,0,3,0,0,2,0,2,2,2,0,2,0,0, %U A359240 4,0,0,4,0,0,4,2,0,2,0,0,2,0,2,2,0,2,4,0,0,4 %N A359240 Number of divisors of 4*n-3 of form 4*k+3. %H A359240 Seiichi Manyama, <a href="/A359240/b359240.txt">Table of n, a(n) for n = 1..10000</a> %F A359240 a(n) = A001842(4*n-3). %F A359240 G.f.: Sum_{k>0} x^(3*k)/(1 - x^(4*k-1)). %t A359240 a[n_] := DivisorSum[4*n-3, 1 &, Mod[#, 4] == 3 &]; Array[a, 100] (* _Amiram Eldar_, Aug 23 2023 *) %o A359240 (PARI) a(n) = sumdiv(4*n-3, d, d%4==3); %o A359240 (PARI) my(N=100, x='x+O('x^N)); concat([0, 0], Vec(sum(k=1, N, x^(3*k)/(1-x^(4*k-1))))) %Y A359240 Cf. A359239, A359241. %Y A359240 Cf. A001842. %K A359240 nonn,easy %O A359240 1,6 %A A359240 _Seiichi Manyama_, Dec 22 2022