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 A318433 #18 Aug 28 2018 19:27:25 %S A318433 1,5,20,155,1220,10630,98900,960650,9613700,98462675,1027222520, %T A318433 10877596900,116613287300,1263159501180,13803839298920, %U A318433 152000845788280,1684888825463940,18785707522181965,210536007879090140,2370423142929112065,26799168520704093720 %N A318433 Number of n-element subsets of [5n] whose elements sum to a multiple of n. %H A318433 Marko Riedel et al., <a href="https://math.stackexchange.com/questions/2894653/">Number of n-element subsets divisible by n</a> %F A318433 a(n) = (-1)^n * (1/n) * Sum_{d|n} C(5d,d)*(-1)^d*phi(n/d) for n>0, a(0)=1. %p A318433 with(numtheory); a := n -> `if`(n=0, 1, (-1)^n * 1/n * add(binomial(5*d,d)*(-1)^d*phi(n/d), d in divisors(n))); %o A318433 (PARI) a(n) = if (n, (-1)^n * (1/n) * sumdiv(n, d, binomial(5*d,d)*(-1)^d*eulerphi(n/d)), 1); \\ _Michel Marcus_, Aug 27 2018 %Y A318433 Cf. A169888, A318431, A318432. %Y A318433 Column k=5 of A304482. %K A318433 nonn %O A318433 0,2 %A A318433 _Marko Riedel_, Aug 26 2018