A371028 - OEIS

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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

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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