A133887 Binomial(n+7,n) mod 7^2.

1, 8, 36, 22, 36, 8, 1, 2, 16, 23, 44, 23, 16, 2, 3, 24, 10, 17, 10, 24, 3, 4, 32, 46, 39, 46, 32, 4, 5, 40, 33, 12, 33, 40, 5, 6, 48, 20, 34, 20, 48, 6, 7, 7, 7, 7, 7, 7, 7, 8, 15, 43, 29, 43, 15, 8, 9, 23, 30, 2, 30, 23, 9, 10, 31, 17, 24, 17, 31, 10, 11, 39, 4, 46, 4, 39, 11, 12, 47

Offset

0,2

Comments

Periodic with length 7^3=343.

Links

Ray Chandler, Table of n, a(n) for n = 0..1500

Index entries for linear recurrences with constant coefficients, order 337.

Formula

a(n)=binomial(n+7,7) mod 7^2.

G.f. g(x)=sum{0<=k<343, a(k)*x^k}/(1-x^343).

Mathematica

Table[Mod[Binomial[n+7, n], 49], {n, 0, 80}] (* Harvey P. Dale, Apr 08 2018 *)

Crossrefs

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

Cf. A133877, A133880, A133890, A133900, A133910.

For the sequence regarding binomial(n+7, n) mod 7 see A133877.

Sequence in context: A200312 A339325 A089698 * A200713 A184294 A057345

Adjacent sequences: A133884 A133885 A133886 * A133888 A133889 A133890

Keyword

nonn

Author

Hieronymus Fischer, Oct 10 2007

Status

approved