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A321961 Sums of antidiagonals of A321964.

%I A321961 #15 Jan 06 2019 03:35:15
%S A321961 1,1,2,6,29,205,1900,21592,289325,4456773,77512394,1501537750,
%T A321961 32053808641,747561173689,18911411905052,515798244940224,
%U A321961 15088848988966409,471291927943037785,15655172277281565058,551102758946418279862,20495154400760992784213,802951447375696586076213
%N A321961 Sums of antidiagonals of A321964.
%H A321961 Vaclav Kotesovec, <a href="/A321961/b321961.txt">Table of n, a(n) for n = 0..200</a>
%F A321961 a(n) ~ 2^(n - 1/2) * n^(n-1) / exp(n-1). - _Vaclav Kotesovec_, Jan 06 2019
%o A321961 (Sage)
%o A321961 def A321961List(l):
%o A321961     def row(n, dim):
%o A321961         m = 1
%o A321961         for k in range(dim-1, -1, -1):
%o A321961             m = 1 - (n+k)*x/m
%o A321961         return SR(1/m).series(x, dim).list()
%o A321961     return [sum(row(n-k, n+1)[k] for k in (0..n)) for n in (0..l-1)]
%o A321961 A321961List(16)
%Y A321961 Cf. A321964.
%K A321961 nonn
%O A321961 0,3
%A A321961 _Peter Luschny_, Dec 27 2018