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 A367553 #14 Nov 22 2023 10:48:22 %S A367553 2,18,128,1506,15552,266548,4194304,89452674,2010077696,52439799700, %T A367553 1486016741376,46761291772836,1587429546508288,58431605635691172, %U A367553 2305913377957871616,97342665226310447618,4371823119477393063936,208266120619720061526886 %N A367553 a(n) = Sum_{d|n} (d+n/d)^n. %C A367553 a(n) is even. %F A367553 a(n) = Sum_{k=0..n} n^(n-k) * binomial(n,k) * (Sum_{d|n} d^(2*k-n)) = Sum_{k=0..n} binomial(n,k) * (Sum_{d|n} d^k * (n/d)^(n-k)). %o A367553 (PARI) a(n) = sumdiv(n, d, (d+n/d)^n); %Y A367553 Cf. A074400. %K A367553 nonn %O A367553 1,1 %A A367553 _Seiichi Manyama_, Nov 22 2023