A370913 a(n) = Sum_{k=0..n} 4^(n - k)*Pochhammer(k/4, n - k). Row sums of A370915(n - k, k).

1, 1, 2, 8, 61, 731, 11894, 242986, 5959037, 170357861, 5559592906, 203873583044, 8297471638781, 371083006046887, 18087291356943566, 954257615636120726, 54175808937658443709, 3293085944438180436161, 213379242249449228080322, 14681745401633286267344896

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Mathematica

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

Crossrefs

Cf. A370915.

Sequence in context: A322012 A188324 A368450 * A208356 A188489 A085657

Adjacent sequences: A370910 A370911 A370912 * A370914 A370915 A370916

Keyword

nonn

Author

Peter Luschny, Mar 06 2024

Status

approved