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 A323534 #13 Feb 01 2019 21:22:17 %S A323534 1,0,0,0,0,0,0,0,0,0,0,0,2551486386077798400, %T A323534 4356795681519916813516800,8378295212644383454317143654400, %U A323534 17729411415388061815791372479702630400,47314452412112353657024080317791118400000000,160496342476959706163534573940481304027441961369600 %N A323534 a(n) = Product_{k=1..n} (binomial(k-1,6) + binomial(n-k,6)). %H A323534 Robert Israel, <a href="/A323534/b323534.txt">Table of n, a(n) for n = 0..115</a> %F A323534 a(n) ~ exp(-6*n + (15 - 4*sqrt(3))*Pi*(n-6)/6) * n^(6*n) / (6!)^n. %p A323534 f:= proc(n) local k; mul(binomial(k-1,6)+binomial(n-k,6),k=1..n) end proc: %p A323534 map(f, [$0..20]); # _Robert Israel_, Feb 01 2019 %t A323534 Table[Product[Binomial[k-1,6] + Binomial[n-k,6], {k, 1, n}], {n, 0, 20}] %o A323534 (PARI) a(n) = prod(k=1, n, binomial(k-1, 6) + binomial(n-k, 6)); \\ _Daniel Suteu_, Jan 17 2019 %Y A323534 Cf. A000579, A323425, A323496, A323497, A323533, A323535. %K A323534 nonn %O A323534 0,13 %A A323534 _Vaclav Kotesovec_, Jan 17 2019