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A321961 Sums of antidiagonals of A321964. 2

%I

%S 1,1,2,6,29,205,1900,21592,289325,4456773,77512394,1501537750,

%T 32053808641,747561173689,18911411905052,515798244940224,

%U 15088848988966409,471291927943037785,15655172277281565058,551102758946418279862,20495154400760992784213,802951447375696586076213

%N Sums of antidiagonals of A321964.

%H Vaclav Kotesovec, <a href="/A321961/b321961.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) ~ 2^(n - 1/2) * n^(n-1) / exp(n-1). - _Vaclav Kotesovec_, Jan 06 2019

%o (Sage)

%o def A321961List(l):

%o def row(n, dim):

%o m = 1

%o for k in range(dim-1, -1, -1):

%o m = 1 - (n+k)*x/m

%o return SR(1/m).series(x, dim).list()

%o return [sum(row(n-k, n+1)[k] for k in (0..n)) for n in (0..l-1)]

%o A321961List(16)

%Y Cf. A321964.

%K nonn

%O 0,3

%A _Peter Luschny_, Dec 27 2018

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Last modified October 16 06:14 EDT 2021. Contains 348040 sequences. (Running on oeis4.)