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A321961 Sums of antidiagonals of A321964. 2
1, 1, 2, 6, 29, 205, 1900, 21592, 289325, 4456773, 77512394, 1501537750, 32053808641, 747561173689, 18911411905052, 515798244940224, 15088848988966409, 471291927943037785, 15655172277281565058, 551102758946418279862, 20495154400760992784213, 802951447375696586076213 (list; graph; refs; listen; history; text; internal format)
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 A326900

Adjacent sequences:  A321958 A321959 A321960 * A321962 A321963 A321964

KEYWORD

nonn

AUTHOR

Peter Luschny, Dec 27 2018

STATUS

approved

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Last modified February 24 09:21 EST 2020. Contains 332209 sequences. (Running on oeis4.)