Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #25 Nov 29 2023 13:07:43
%S 1,1,252,756756,11732745024,623360743125120,88832646059788350720,
%T 28837919555681211870935040,18975581770994682860770223800320,
%U 23183587808948692737291767860055162880,49120458506088132224064306071170476903628800
%N a(n) = (5n)!/(5!^n).
%C a(n) is also the constant term in product 1 <= i,j <= n, i different from j (1 - x_i/x_j)^5. - Sharon Sela (sharonsela(AT)hotmail.com), Feb 18 2002
%D G. E. Andrews, R. Askey, and R. Roy, Special Functions, Cambridge University Press, 1998.
%H Alois P. Heinz, <a href="/A014609/b014609.txt">Table of n, a(n) for n = 0..105</a>
%H J.-C. Novelli and J.-Y. Thibon, <a href="http://arxiv.org/abs/1403.5962">Hopf Algebras of m-permutations,(m+1)-ary trees, and m-parking functions</a>, arXiv preprint arXiv:1403.5962 [math.CO], 2014-2020.
%o (PARI) a(n)=if(n<0,0,(5*n)!/120^n)
%Y Cf. A000680, A014606, A014608.
%K nonn
%O 0,3
%A BjornE (mdeans(AT)algonet.se)