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A218501
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9th iteration of the hyperbinomial transform on the sequence of 1's.
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3
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1, 10, 118, 1621, 25588, 458605, 9232894, 206835751, 5113191304, 138473150833, 4081818946330, 130223467785619, 4473867764956204, 164772507070721989, 6479598382677480286, 271083794667222927655, 12026359894442420178064, 564099525344446492486105
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OFFSET
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0,2
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COMMENTS
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See A088956 for the definition of the hyperbinomial transform.
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LINKS
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FORMULA
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E.g.f.: exp(x) * (-LambertW(-x)/x)^9.
a(n) = Sum_{j=0..n} 9 * (n-j+9)^(n-j-1) * C(n,j).
Hyperbinomial transform of A218500.
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MAPLE
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a:= n-> add(9*(n-j+9)^(n-j-1)*binomial(n, j), j=0..n):
seq (a(n), n=0..20);
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MATHEMATICA
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Table[Sum[9*(n-j+9)^(n-j-1)*Binomial[n, j], {j, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Oct 18 2013 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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