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%I #8 Sep 23 2024 11:32:54
%S 1,7,33,129,450,1452,4424,12896,36288,99200,264704,691968,1777152,
%T 4494336,11212800,27639808,67403776,162791424,389742592,925696000,
%U 2182742016,5112594432,11901861888,27550285824,63438848000,145366188032,331584897024,753146003456,1703860502528
%N Row sums of A375550.
%F a(n) ~ 2^(n-6) * n^4 / 3. - _Vaclav Kotesovec_, Sep 23 2024
%t Table[Sum[Binomial[n+1, n-k] * HypergeometricPFQ[{4, k-n}, {k+2}, -1], {k, 0, n}], {n, 0, 30}] (* _Vaclav Kotesovec_, Sep 23 2024 *)
%Y Cf. A375550.
%K nonn
%O 0,2
%A _Peter Luschny_, Sep 23 2024