A133875 - OEIS

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A133875

n modulo 5 repeated 5 times.

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; refs; listen; history; text; internal format)

	OFFSET	`0,6`
	COMMENTS	`Periodic with length 5^2=25.`
	LINKS	`Table of n, a(n) for n=0..104.`
	FORMULA	`a(n)=(1+floor(n/5)) mod 5.` `a(n)=A010874(A002266(n+5)).` `a(n)=1+floor(n/5)-5floor((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.` `a(n)= +a(n-1) -a(n-5) +a(n-6) -a(n-10) +a(n-11) -a(n-15) +a(n-16) -a(n-20) +a(n-21). - R. J. Mathar, Sep 03 2011` `G.f.: ( 1+2x^5+3x^10+4x^15 ) / ( (1-x)*(x^20+x^15+x^10+x^5+1) ). - R. J. Mathar, Sep 03 2011`
	CROSSREFS	`Cf. A133620-A133625, A133630, A038509, A133634-A133636.` `Cf. A133885, A133880, A133890, A133900, A133910.` `Sequence in context: A108602 A085290 A108611 * A104355 A092278 A105512` `Adjacent sequences: A133872 A133873 A133874 * A133876 A133877 A133878`
	KEYWORD	`nonn,less`
	AUTHOR	`Hieronymus Fischer, Oct 10 2007`
	STATUS	`approved`

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Last modified May 19 14:00 EDT 2013. Contains 225430 sequences.