A254706 a(n) = Catalan(2*n) mod prime(n).

0, 2, 2, 2, 10, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 33, 122, 35, 125, 64, 70, 90, 36, 71, 50, 65, 159, 27, 79, 175, 155, 197, 164, 66, 95, 204, 156, 223, 191, 156, 140, 184, 231, 32, 208, 35, 224, 83, 193, 143, 234, 1, 273

Offset: 1

Author

Vincenzo Librandi, Feb 06 2015

Keywords

• nonn

Links

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

Crossrefs

Cf. A000040, A000108, A246714.

Programs

Magma

[Catalan(2*n) mod NthPrime(n): n in [1..100]];

Mathematica

Table[Mod[CatalanNumber[2 n], Prime[n]], {n, 70}]

Formula

a(n) = A000108(2n) mod A000040(n).