|
%I #11 Sep 12 2015 11:00:29
%S 1,33,8020,3301025,1733984376,1048567813062,694995078406056,
%T 491336887915201185,364377975224032162000,280380150421755638519408,
%U 222165159124597435189467696,180288439972217748901049985158,149230751849318301857448761484400,125602423480863080624602495191566250
%N Sum(binomial(n+k,k)^5, k=0..n).
%H Vincenzo Librandi, <a href="/A219563/b219563.txt">Table of n, a(n) for n = 0..200</a>
%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Asymptotic of generalized Apery sequences with powers of binomial coefficients</a>, Nov 04 2012
%F a(n) ~ 2^(10*n+5)/(31*(Pi*n)^(5/2)).
%t Table[Sum[Binomial[n+k,k]^5, {k,0,n}], {n,0,20}]
%Y Cf. A001700, A112029, A112028, A219562, A219564.
%K nonn
%O 0,2
%A _Vaclav Kotesovec_, Nov 23 2012
|
