A087813 (1/p)*(binomial(2p,p)-2^p) as p runs through the primes.

1, 4, 44, 472, 63944, 799416, 137263244, 1860249448, 357974884304, 1036802274574832, 15013817777670240, 47192717951302358280, 10360599532843724350568, 154361699651510683256944, 34589385964787861980005536, 118349529407778159289257602576

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..263

Maple

a:= n-> (p-> (binomial(2*p, p)-2^p)/p)(ithprime(n)):
seq(a(n), n=1..20);  # Alois P. Heinz, Feb 27 2023

Mathematica

f[n_] := Binomial[2*n, n] - 2^n; Table[f[p]/p, {p, Prime[Range[16]]}] (* Amiram Eldar, Apr 25 2025 *)

Crossrefs

Cf. A000040, A000984.

Sequence in context: A002278 A112897 A163013 * A342346 A082779 A223053

Adjacent sequences: A087810 A087811 A087812 * A087814 A087815 A087816

Keyword

nonn

Author

Benoit Cloitre, Oct 15 2003

Status

approved