A246763 Catalan(n)^2 mod prime(n).

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

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

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

Cf. A000040, A000108, A246714.

Sequence in context: A289625 A040004 A079611 * A319070 A227074 A174595

Adjacent sequences: A246760 A246761 A246762 * A246764 A246765 A246766

Keyword

nonn

Author

Vincenzo Librandi, Sep 03 2014

Status

approved