A371028 a(n) = Sum_{k=1..n} (n + k - 1)! / (k!*(n - k)!) if n > 0 and a(0) = 1. Row sums of A370983.

1, 1, 5, 35, 364, 5189, 94471, 2095015, 54793880, 1651345449, 56350158193, 2147652456971, 90423282500420, 4168099478767405, 208774492598428979, 11291105341823941327, 655760745772682537776, 40705101569058847374545, 2689347796601389962641085, 188430347768069305315294579

Offset

0,3

Links

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

Maple

a := n -> local k; if n = 0 then 1 else add((n + k - 1)! / (k!*(n - k)!), k = 1..n) fi: seq(a(n), n = 0..19);

Crossrefs

Cf. A370983.

Sequence in context: A201367 A233860 A258902 * A125864 A210996 A204290

Adjacent sequences: A371025 A371026 A371027 * A371029 A371030 A371031

Keyword

nonn

Author

Peter Luschny, Mar 09 2024

Status

approved