A252766 - OEIS

%I #4 Dec 21 2014 10:44:54

%S 1,2,13,163,2993,71801,2120545,74300269,3010775745,138473150833,

%T 7125155956601,405508439303573,25289672996300113,1715033239186419673,

%U 125649446059365470481,9889850149432716471301,832278360169843776972545,74571018189601103968946273

%N a(n) = n-th number of the n-th iteration of the hyperbinomial transform on the sequence of 1's.

%H Alois P. Heinz, <a href="/A252766/b252766.txt">Table of n, a(n) for n = 0..350</a>

%F a(n) = Sum_{j=0..n} n * (2*n-j)^(n-j-1) * C(n,j) for n>0, a(0) = 1.

%p a:= n-> `if`(n=0, 1, add(n*(2*n-j)^(n-j-1)*binomial(n, j), j=0..n)):

%p seq(a(n), n=0..20);

%Y Main diagonal of A144303.

%K nonn

%O 0,2

%A _Alois P. Heinz_, Dec 21 2014