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 A363664 #15 Jul 12 2023 01:02:10 %S A363664 1,4,11,56,127,1100,1717,19300,64406,383010,352717,23214660,5200301, %T A363664 191172406,3465549077,20859527460,1166803111,1010698826825, %U A363664 17672631901,102589250081802,286539905316908,75260204476154,4116715363801,548610025890719156 %N A363664 a(n) = Sum_{d|n} (n/d)^(n-n/d) * binomial(d+n-1,n). %F A363664 a(n) = [x^n] Sum_{k>0} x^k/(1 - (k*x)^k)^(n+1). %t A363664 a[n_] := DivisorSum[n, (n/#)^(n-n/#) * Binomial[# + n - 1, n] &]; Array[a, 25] (* _Amiram Eldar_, Jul 12 2023 *) %o A363664 (PARI) a(n) = sumdiv(n, d, (n/d)^(n-n/d)*binomial(d+n-1, n)); %Y A363664 Cf. A342628, A359112, A363650. %Y A363664 Cf. A343548, A363662, A363663, A363667. %K A363664 nonn %O A363664 1,2 %A A363664 _Seiichi Manyama_, Jun 14 2023