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

Offset: 0

Author

Peter Luschny, Mar 08 2024

Keywords

• nonn

Crossrefs

Cf. A371026, A007696.

Programs

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);