A065344 a(n) = binomial(2*n,n) mod ((n+1)*(n+2)).

2, 6, 0, 10, 0, 28, 48, 0, 0, 88, 0, 0, 140, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 468, 0, 0, 580, 0, 496, 704, 0, 0, 420, 0, 0, 494, 0, 0, 574, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4320, 0, 0, 4648, 0, 0, 4988, 0, 0

Offset

1,1

Links

Harry J. Smith, Table of n, a(n) for n = 1..1000

C. Pomerance, Divisors of the middle binomial coefficient, Amer. Math. Monthly, 112 (2015), 636-644.

Mathematica

Table[Mod[Binomial[2 n, n], (n + 1) (n + 2)], {n, 100}] (* Bruno Berselli, Jan 06 2014 *)

Prog

(PARI) a(n) = { binomial(2*n, n) % ((n + 1)*(n + 2)) } \\ Harry J. Smith, Oct 17 2009

Crossrefs

Cf. A000108, A065345, A065346, A065347, A065348, A065349.

Sequence in context: A227805 A267314 A180314 * A131105 A321713 A057635

Adjacent sequences: A065341 A065342 A065343 * A065345 A065346 A065347

Keyword

nonn,changed

Author

Labos Elemer, Oct 30 2001

Status

approved