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 A363663 #14 Jul 12 2023 01:02:17 %S A363663 1,4,11,46,127,596,1717,7792,24806,108450,352717,1563914,5200301, %T A363663 22539046,77876117,331982444,1166803111,4945693769,17672631901, %U A363663 74053888812,269344740908,1118110015874,4116715363801,16984153623296,63205318063252,259049084680612 %N A363663 a(n) = Sum_{d|n} (n/d)^(d-1) * binomial(d+n-1,n). %F A363663 a(n) = [x^n] Sum_{k>0} x^k/(1 - k*x^k)^(n+1). %t A363663 a[n_] := DivisorSum[n, (n/#)^(#-1) * Binomial[# + n - 1, n] &]; Array[a, 25] (* _Amiram Eldar_, Jul 12 2023 *) %o A363663 (PARI) a(n) = sumdiv(n, d, (n/d)^(d-1)*binomial(d+n-1, n)); %Y A363663 Cf. A167531, A363642, A363645. %Y A363663 Cf. A343548, A363661, A363664. %K A363663 nonn %O A363663 1,2 %A A363663 _Seiichi Manyama_, Jun 14 2023