A053214 Central binomial coefficients (A000984) read mod 2n, with a(0)=1.

1, 0, 2, 2, 6, 2, 0, 2, 6, 2, 16, 2, 4, 2, 20, 0, 6, 2, 24, 2, 20, 6, 28, 2, 12, 2, 32, 20, 0, 2, 4, 2, 6, 42, 40, 42, 52, 2, 44, 20, 20, 2, 0, 2, 48, 0, 52, 2, 60, 2, 56, 54, 96, 2, 60, 32, 88, 96, 64, 2, 96, 2, 68, 12, 70, 70, 0, 2, 36, 66, 40, 2, 36, 2, 80, 120, 32, 0, 144, 2, 20, 20, 88

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Formula

a(n) = binomial(2*n, n) mod 2*n, with a(0)=1.

a(n) = A053200(2*n,n) for n > 0. - Reinhard Zumkeller, Jan 01 2013

Mathematica

Join[{1}, Table[Mod[Binomial[2*n, n], 2*n], {n, 1, 100}]] (* G. C. Greubel, Sep 04 2018 *)

Prog

(Haskell)
a053214 0 = 1
a053214 n = a053200 (2 * n) n  -- Reinhard Zumkeller, Jan 24 2014
(PARI) concat([1], vector(100, n, lift(Mod(binomial(2*n, n), 2*n)))) \\ G. C. Greubel, Sep 04 2018

Crossrefs

Cf. A059288, A059289.

Sequence in context: A225975 A016529 A077894 * A077198 A046110 A296091

Adjacent sequences: A053211 A053212 A053213 * A053215 A053216 A053217

Keyword

nonn,easy

Author

Asher Auel, Dec 16 1999

Extensions

More terms from James A. Sellers, Dec 18 1999

Status

approved