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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, 1, 5, 35, 364, 5189, 94471, 2095015, 54793880, 1651345449, 56350158193, 2147652456971, 90423282500420, 4168099478767405, 208774492598428979, 11291105341823941327, 655760745772682537776, 40705101569058847374545, 2689347796601389962641085, 188430347768069305315294579
OFFSET
0,3
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
KEYWORD
nonn
AUTHOR
Peter Luschny, Mar 09 2024
STATUS
approved