id:A133879 - OEIS Search Results

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n modulo 9 repeated 9 times.

+0
3

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3 (list; graph; listen)

	OFFSET	`0,10`
	COMMENT	`Periodic with length 9^2=81.`
	FORMULA	`a(n)=(1+floor(n/9)) mod 9.` `a(n)=1+floor(n/9)-9floor((n+9)/81).` `a(n)=(((n+9) mod 81)-(n mod 9))/9.` `a(n)=((n+9-(n mod 9))/9) mod 9.` `G.f. g(x)=(1-x^9)(1+2x^9+3x^18+4x^27+5x^36+6x^45+7x^56+8x^63)/((1-x)(1-x^81)).` `G.f. g(x)=(1-x^9)sum{0<=k<8, (k+1)x^(9k)}/((1-x)(1-x^81)).` `G.f. g(x)=(8x^81-9x^72+1)/((1-x)(1-x^9)(1-x^81)).`
	CROSSREFS	`Cf. A000040, A133620-A133625, A133630, A133633-A133636.` `Cf. A133889, A133880, A133890, A133900, A133910.` `Sequence in context: A111858 A111856 A111857 this_sequence A054898 A102682 A116371` `Adjacent sequences: A133876 A133877 A133878 this_sequence A133880 A133881 A133882`
	KEYWORD	`nonn`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Oct 10 2007`

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.

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