A362846 a(n) = Sum_{k=0..n-1} Gamma(n + k) / Gamma(n - k) for n > 0, a(0) = 1. Row sums of A362787.

1, 1, 3, 31, 853, 45741, 4012711, 520795003, 93651619881, 22275111534553, 6768744159489931, 2557808459478878871, 1176328664895760953853, 646871036386631296664581, 419117251302784557222893103, 315981471063390925577186307571, 274248897723749542494288034278481

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Maple

a := n -> if n = 0 then 1 else add(GAMMA(n + k) / GAMMA(n - k), k=0..n-1) fi:
seq(a(n), n = 0..16);

Crossrefs

Cf. A362787.

Sequence in context: A373873 A317348 A144416 * A227787 A356673 A274592

Adjacent sequences: A362843 A362844 A362845 * A362847 A362848 A362849

Keyword

nonn

Author

Peter Luschny, May 05 2023

Status

approved