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A218502 10th iteration of the hyperbinomial transform on the sequence of 1's.

%I A218502 #8 Oct 18 2013 15:11:55
%S A218502 1,11,141,2081,34961,661601,13970521,326429401,8377176001,
%T A218502 234573153281,7125155956601,233554674134441,8223284332647361,
%U A218502 309711995280132001,12430859603012736601,529915231307371964201,23918971999180778999681,1139982481554110359552001
%N A218502 10th iteration of the hyperbinomial transform on the sequence of 1's.
%C A218502 See A088956 for the definition of the hyperbinomial transform.
%H A218502 Alois P. Heinz, <a href="/A218502/b218502.txt">Table of n, a(n) for n = 0..150</a>
%F A218502 E.g.f.: exp(x) * (-LambertW(-x)/x)^10.
%F A218502 a(n) = Sum_{j=0..n} 10 * (n-j+10)^(n-j-1) * C(n,j).
%F A218502 Hyperbinomial transform of A218501.
%F A218502 a(n) ~ 10*exp(10+exp(-1))*n^(n-1). - _Vaclav Kotesovec_, Oct 18 2013
%p A218502 a:= n-> add(10*(n-j+10)^(n-j-1)*binomial(n,j), j=0..n):
%p A218502 seq (a(n), n=0..20);
%t A218502 Table[Sum[10*(n-j+10)^(n-j-1)*Binomial[n,j],{j,0,n}],{n,0,20}] (* _Vaclav Kotesovec_, Oct 18 2013 *)
%Y A218502 Column k=10 of A144303.
%K A218502 nonn
%O A218502 0,2
%A A218502 _Alois P. Heinz_, Oct 30 2012