A133877 - OEIS

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A133877

n modulo 7 repeated 7 times.

1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,8`
	COMMENTS	`Periodic with length 7^2=49.`
	FORMULA	`a(n)=(1+floor(n/7)) mod 7.` `a(n)=1+floor(n/7)-7*floor((n+7)/49).` `a(n)=(((n+7) mod 49)-(n mod 7))/7.` `a(n)=((n+7-(n mod 7))/7) mod 7.` `a(n)=binomial(n+7,n) mod 7 =binomial(n+7,7) mod 7.` `G.f. g(x)=(1-x^7)(1+2x^7+3x^14+4x^21+5x^28+6x^35)/((1-x)(1-x^49)).` `G.f. g(x)=(6x^49-7x^42+1)/((1-x)(1-x^7)(1-x^49)).`
	CROSSREFS	`Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636.` `Cf. A133887, A133880, A133890, A133900, A133910.` `Sequence in context: A204164 A180447 A115338 * A132270 A195174 A187185` `Adjacent sequences: A133874 A133875 A133876 * A133878 A133879 A133880`
	KEYWORD	`nonn`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Oct 10 2007`

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Last modified February 14 22:58 EST 2012. Contains 205685 sequences.