A133874 - OEIS

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A133874

n modulo 4 repeated 4 times.

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

	OFFSET	`0,5`
	COMMENTS	`Periodic with length 4^2=16.`
	FORMULA	`a(n)=(1+floor(n/4)) mod 4.` `a(n)=A010873(A002265(n+4)).` `a(n)=1+floor(n/4)-4floor((n+4)/16).` `a(n)=(((n+4) mod 16)-(n mod 4))/4.` `a(n)=((n+4-(n mod 4))/4) mod 4.` `G.f. g(x)=(1+x+x^2+x^3+2x^4+2x^5+2x^6+2x^7+3x^8+3x^9+3x^10+3x^11)/(1-x^16).` `G.f. g(x)=((1-x^4)(1+2x^4+3x^8))/((1-x)(1-x^16)).` `G.f. g(x)=(3x^16-4x^12+1)/((1-x)(1-x^4)(1-x^16)).` `G.f. g(x)=(1+2x^4+3x^8)/((1-x)(1+x^4)(1+x^8)).`
	CROSSREFS	`Cf. A000040, A133620-A133625, A133630, A038509, A133634-A133636.` `Cf. A133884, A133880, A133890, A133900, A133910.` `Sequence in context: A104186 A184320 A092363 * A053384 A186313 A165020` `Adjacent sequences: A133871 A133872 A133873 * A133875 A133876 A133877`
	KEYWORD	`nonn`
	AUTHOR	`Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Oct 10 2007`

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Last modified February 17 18:31 EST 2012. Contains 206070 sequences.