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 A343567 #12 Apr 25 2021 02:22:21 %S A343567 1,6,33,292,3195,47154,824467,16783176,387434574,10000082730, %T A343567 285311855367,8916101760828,302875109296409,11112006847596746, %U A343567 437893890421433595,18446744074133995664,827240261886937844567,39346408075305857765940 %N A343567 a(n) = Sum_{d|n} (n/d)^(n/d) * binomial(d+n-2,n-1). %F A343567 a(n) = [x^n] Sum_{k>=1} (k * x)^k/(1 - x^k)^n. %t A343567 a[n_] := DivisorSum[n, (n/#)^(n/#) * Binomial[# + n - 2, n - 1] &]; Array[a, 20] (* _Amiram Eldar_, Apr 25 2021 *) %o A343567 (PARI) a(n) = sumdiv(n, d, (n/d)^(n/d)*binomial(d+n-2, n-1)); %Y A343567 Cf. A062796, A343547, A343568. %K A343567 nonn %O A343567 1,2 %A A343567 _Seiichi Manyama_, Apr 20 2021