A252766 a(n) = n-th number of the n-th iteration of the hyperbinomial transform on the sequence of 1's.

1, 2, 13, 163, 2993, 71801, 2120545, 74300269, 3010775745, 138473150833, 7125155956601, 405508439303573, 25289672996300113, 1715033239186419673, 125649446059365470481, 9889850149432716471301, 832278360169843776972545, 74571018189601103968946273

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..350

Formula

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

Maple

a:= n-> `if`(n=0, 1, add(n*(2*n-j)^(n-j-1)*binomial(n, j), j=0..n)):
seq(a(n), n=0..20);

Crossrefs

Main diagonal of A144303.

Sequence in context: A014507 A132614 A187927 * A098638 A090643 A132521

Adjacent sequences: A252763 A252764 A252765 * A252767 A252768 A252769

Keyword

nonn

Author

Alois P. Heinz, Dec 21 2014

Status

approved