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A133886 Binomial(n+6,n) mod 6. 6
1, 1, 4, 0, 0, 0, 0, 0, 3, 1, 4, 4, 0, 0, 0, 0, 3, 3, 4, 4, 4, 0, 0, 0, 3, 3, 0, 4, 4, 4, 0, 0, 3, 3, 0, 0, 4, 4, 4, 0, 3, 3, 0, 0, 0, 4, 4, 4, 3, 3, 0, 0, 0, 0, 4, 4, 1, 3, 0, 0, 0, 0, 0, 4, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 4, 0, 0, 0, 0, 0, 3, 1, 4, 4, 0, 0, 0, 0, 3, 3, 4, 4, 4, 0, 0, 0, 3, 3, 0, 4, 4, 4, 0, 0, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Periodic with length 2*6^2 = 72.

LINKS

Table of n, a(n) for n=0..104.

FORMULA

a(n) = binomial(n+6,6) mod 6.

G.f.: g(x) = (1+x+4*x^2-6*x^9-6*x^56+4*x^63+x^64+x^65+3*x^8*(1+x)(1-x^56)/(1-x^8)+4*x^9(1+x+x^2)(1-x^54)/(1-x^9)))/(1-x^72).

a(n) = a(n-1)-a(n-2)+a(n-8)+a(n-11)-a(n-17)-a(n-20)-a(n-24)+a(n-25)+a(n-29)+ a(n-32)- a(n-38)-a(n-41)+a(n-47)-a(n-48)+a(n-49). - Harvey P. Dale, May 04 2013

MAPLE

A133886:=n->binomial(n+6, 6) mod 6; seq(A133886(n), n=0..100); # Wesley Ivan Hurt, Apr 30 2014

MATHEMATICA

Table[Mod[Binomial[n+6, n], 6], {n, 0, 110}] (* Harvey P. Dale, May 04 2013 *)

CROSSREFS

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

Cf. A133876, A133880, A133890, A133900, A133910.

Sequence in context: A280492 A089371 A318679 * A061859 A289110 A287287

Adjacent sequences:  A133883 A133884 A133885 * A133887 A133888 A133889

KEYWORD

nonn,easy

AUTHOR

Hieronymus Fischer, Oct 10 2007

STATUS

approved

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Last modified November 18 07:22 EST 2019. Contains 329252 sequences. (Running on oeis4.)