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a(n) = Sum_{k=0..n} 4^(n - k)*Pochhammer(k/4, n - k). Row sums of A370915(n - k, k).
1

%I #9 Mar 06 2024 19:04:34

%S 1,1,2,8,61,731,11894,242986,5959037,170357861,5559592906,

%T 203873583044,8297471638781,371083006046887,18087291356943566,

%U 954257615636120726,54175808937658443709,3293085944438180436161,213379242249449228080322,14681745401633286267344896

%N a(n) = Sum_{k=0..n} 4^(n - k)*Pochhammer(k/4, n - k). Row sums of A370915(n - k, k).

%t a[n_] := Sum[4^(n-k) * Pochhammer[k/4, n-k], {k, 0, n}]; Array[a, 20, 0] (* _Amiram Eldar_, Mar 06 2024 *)

%Y Cf. A370915.

%K nonn

%O 0,3

%A _Peter Luschny_, Mar 06 2024