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A219563
Sum(binomial(n+k,k)^5, k=0..n).
7
1, 33, 8020, 3301025, 1733984376, 1048567813062, 694995078406056, 491336887915201185, 364377975224032162000, 280380150421755638519408, 222165159124597435189467696, 180288439972217748901049985158, 149230751849318301857448761484400, 125602423480863080624602495191566250
OFFSET
0,2
FORMULA
a(n) ~ 2^(10*n+5)/(31*(Pi*n)^(5/2)).
MATHEMATICA
Table[Sum[Binomial[n+k, k]^5, {k, 0, n}], {n, 0, 20}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Nov 23 2012
STATUS
approved