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A252766 a(n) = n-th number of the n-th iteration of the hyperbinomial transform on the sequence of 1's. 2
1, 2, 13, 163, 2993, 71801, 2120545, 74300269, 3010775745, 138473150833, 7125155956601, 405508439303573, 25289672996300113, 1715033239186419673, 125649446059365470481, 9889850149432716471301, 832278360169843776972545, 74571018189601103968946273 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 2 18:25 EDT 2020. Contains 334787 sequences. (Running on oeis4.)