A375549 Row sums of A375550.
1, 7, 33, 129, 450, 1452, 4424, 12896, 36288, 99200, 264704, 691968, 1777152, 4494336, 11212800, 27639808, 67403776, 162791424, 389742592, 925696000, 2182742016, 5112594432, 11901861888, 27550285824, 63438848000, 145366188032, 331584897024, 753146003456, 1703860502528
Offset: 0
Keywords
Crossrefs
Cf. A375550.
Programs
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Mathematica
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 *)
Formula
a(n) ~ 2^(n-6) * n^4 / 3. - Vaclav Kotesovec, Sep 23 2024