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A246763
Catalan(n)^2 mod prime(n).
1
1, 1, 0, 0, 4, 4, 16, 6, 12, 25, 7, 4, 31, 15, 8, 11, 7, 41, 23, 45, 69, 72, 29, 11, 2, 85, 4, 16, 73, 64, 2, 62, 69, 5, 29, 144, 16, 145, 157, 40, 9, 82, 75, 96, 88, 9, 100, 144, 36, 118, 8, 163, 212, 38, 9, 27, 185, 242, 203, 231, 11, 189, 250, 137, 116, 34, 91, 289, 10, 272
OFFSET
1,5
LINKS
MAPLE
seq(binomial(2*n, n)^2/(n+1)^2 mod ithprime(n), n=1..100); # Robert Israel, Sep 03 2014
MATHEMATICA
Table[Mod[CatalanNumber[n]^2, Prime[n]], {n, 70}]
PROG
(Magma) [Catalan(n)^2 mod NthPrime(n): n in [1..70]];
(Python)
from sympy import prime
from gmpy2 import divexact, t_mod
A246763, c = [1], 1
for n in range(2, 10**2):
....c = divexact(c*(4*n-2), (n+1))
....A246763.append(t_mod(c**2, prime(n))) # Chai Wah Wu, Sep 04 2014
CROSSREFS
KEYWORD
nonn
AUTHOR
Vincenzo Librandi, Sep 03 2014
STATUS
approved