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 A363667 #11 Jul 12 2023 01:02:01 %S A363667 1,3,7,37,71,751,925,13161,45676,262911,184757,18014557,2704157, %T A363667 133062875,2838201061,16907954129,601080391,830283170617,9075135301, %U A363667 87074953375981,246003195539410,53321730394923,2104098963721,479275771000215865,1952680410445479976 %N A363667 a(n) = Sum_{d|n} (n/d)^(n-n/d) * binomial(d+n-2,n-1). %F A363667 a(n) = [x^n] Sum_{k>0} x^k/(1 - (k*x)^k)^n. %t A363667 a[n_] := DivisorSum[n, (n/#)^(n-n/#) * Binomial[# + n - 2, n - 1] &]; Array[a, 25] (* _Amiram Eldar_, Jul 12 2023 *) %o A363667 (PARI) a(n) = sumdiv(n, d, (n/d)^(n-n/d)*binomial(d+n-2, n-1)); %Y A363667 Cf. A342628, A359112, A363650. %Y A363667 Cf. A363664, A363666. %K A363667 nonn %O A363667 1,2 %A A363667 _Seiichi Manyama_, Jun 14 2023