id:A133875 - OEIS Search Results

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n modulo 5 repeated 5 times.

+0
6

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1 (list; graph; listen)

	OFFSET	`0,6`
	COMMENT	`Periodic with length 5^2=25.`
	FORMULA	`a(n)=(1+floor(n/5)) mod 5.` `a(n)=A010874(A002266(n+5)).` `a(n)=1+floor(n/5)-5*floor((n+5)/25).` `a(n)=(((n+5) mod 25)-(n mod 5))/5.` `a(n)=((n+5-(n mod 5))/5) mod 5.` `a(n)=A010874((n+5-A010874(n))/5).` `a(n)=binomial(n+5,n) mod 5 =binomial(n+5,5) mod 5.` `G.f. g(x)=(1-x^5)(1+2x^5+3x^10+4x^15)/((1-x)(1-x^25)).` `G.f. g(x)=(4x^25-5x^20+1)/((1-x)(1-x^5)(1-x^25)).`
	CROSSREFS	`Cf. A000040, A133620-A133625, A133630, A133633-A133636.` `Cf. A133885, A133880, A133890, A133900, A133910.` `Sequence in context: A108602 A085290 A108611 this_sequence A104355 A092278 A105512` `Adjacent sequences: A133872 A133873 A133874 this_sequence A133876 A133877 A133878`
	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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