A321961 Sums of antidiagonals of A321964.

1, 1, 2, 6, 29, 205, 1900, 21592, 289325, 4456773, 77512394, 1501537750, 32053808641, 747561173689, 18911411905052, 515798244940224, 15088848988966409, 471291927943037785, 15655172277281565058, 551102758946418279862, 20495154400760992784213, 802951447375696586076213

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..200

Formula

a(n) ~ 2^(n - 1/2) * n^(n-1) / exp(n-1). - Vaclav Kotesovec, Jan 06 2019

Prog

(Sage)
def A321961List(l):
    def row(n, dim):
        m = 1
        for k in range(dim-1, -1, -1):
            m = 1 - (n+k)*x/m
        return SR(1/m).series(x, dim).list()
    return [sum(row(n-k, n+1)[k] for k in (0..n)) for n in (0..l-1)]
A321961List(16)

Crossrefs

Cf. A321964.

Sequence in context: A296792 A241462 A187006 * A088957 A030538 A348879

Adjacent sequences: A321958 A321959 A321960 * A321962 A321963 A321964

Keyword

nonn

Author

Peter Luschny, Dec 27 2018

Status

approved