A133891 a(n) = binomial(n+p,n) mod p, where p=12.

1, 1, 7, 11, 8, 8, 0, 0, 6, 2, 2, 2, 4, 4, 4, 0, 3, 3, 9, 9, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 8, 8, 5, 9, 3, 3, 8, 8, 8, 4, 10, 10, 6, 6, 0, 0, 0, 0, 3, 3, 9, 9, 0, 0, 4, 4, 4, 8, 8, 8, 0, 0, 0, 8, 5, 5, 7, 7, 4, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 3, 7, 1, 1, 8, 8, 8, 0, 0, 0, 8, 8, 8, 4, 4, 4, 9, 9, 3, 3, 0, 0, 0, 0

Offset: 0

Author

Hieronymus Fischer, Oct 16 2007

Keywords

• nonn

Comments

Periodic with length 6*12^2 = 864 = A133900(12).

Crossrefs

Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636, A133910.

See A133872, A133873, A133875, A133877, A133884, A133886, A133888, A133889, A133890 for sequences with different values of p.

See A133900 for the respective periods regarding other values of p.

Programs

Mathematica

Table[Mod[Binomial[n+12,n],12],{n,0,110}] (* Harvey P. Dale, Oct 13 2017 *)

Formula

a(n) = binomial(n+12,12) mod 12.