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A053214 Central binomial coefficients (A000984) read mod 2n, with a(0)=1. 6
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
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
Sequence in context: A225975 A016529 A077894 * A077198 A046110 A296091
KEYWORD
nonn,easy
AUTHOR
Asher Auel, Dec 16 1999
EXTENSIONS
More terms from James A. Sellers, Dec 18 1999
STATUS
approved

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Last modified February 23 11:40 EST 2024. Contains 370283 sequences. (Running on oeis4.)