A371027 - OEIS

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A371027

a(n) = Sum_{k=1..n} binomial(n, k) * Pochhammer(1/4, k) * 4^k * a(n - k) for n > 0 and a(0) = 1. Row sums of triangle A371026.

1, 1, 7, 81, 1299, 26565, 659655, 19256265, 645765435, 24453391725, 1031685317775, 47978413923825, 2437962646702275, 134374287343821525, 7984095179348863575, 508687013361879977625, 34593307096333435324875, 2500919993138258679112125, 191526329081848509391017375

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

MAPLE

a := proc(n) option remember; local k; if n = 0 then 1 else

add(binomial(n, k) * pochhammer(1/4, k) * 4^k * a(n - k), k = 1..n) fi end:

seq(a(n), n = 0..19);

CROSSREFS

Cf. A371026, A007696.

Sequence in context: A339710 A112119 A369024 * A058575 A355220 A375475

Adjacent sequences: A371024 A371025 A371026 * A371028 A371029 A371030

KEYWORD

nonn

AUTHOR

Peter Luschny, Mar 08 2024

STATUS

approved