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 A363640 #13 Jul 17 2023 00:59:20 %S A363640 4,18,32,91,76,358,148,917,796,2368,408,10354,612,16586,16984,52873, %T A363640 1208,180408,1616,374934,271408,749070,2692,3350370,178376,4592968, %U A363640 4349008,13197802,5076,45402484,6108,74470417,64515400,149432876,10324768,652324677,10028 %N A363640 Expansion of Sum_{k>0} (1/(1 - k*x^k)^4 - 1). %F A363640 a(n) = Sum_{d|n} (n/d)^d * binomial(d+3,3). %t A363640 a[n_] := DivisorSum[n, (n/#)^# * Binomial[# + 3, 3] &]; Array[a, 40] (* _Amiram Eldar_, Jul 17 2023 *) %o A363640 (PARI) a(n) = sumdiv(n, d, (n/d)^d*binomial(d+3, 3)); %Y A363640 Cf. A338662, A362683, A363639. %Y A363640 Cf. A116963, A363648. %K A363640 nonn %O A363640 1,1 %A A363640 _Seiichi Manyama_, Jun 13 2023