A112713 - OEIS

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A112713

Expansion of x/(1-x+x^5-x^6).

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

	OFFSET	`0,1`
	COMMENTS	`A transformation of the Fibonacci numbers: a(n)=mod(A112712,2).`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (1,0,0,0,-1,1).`
	FORMULA	`G.f.: x(1+x+x^2+x^4+x^5)/(1-x^10); a(n)=a(n-1)-a(n-5)+a(n-6); also a(n)=a(n-10); a(n)=mod(sum{k=0..floor((n+2)/2), (-1)^(k+1)C(n-k+2, k-1)F(n-2k+2)}, 2).`
	CROSSREFS	`Cf. A000035, A133872, A088911, A131078.` `Sequence in context: A011558 A100047 A080891 * A143536 A080110 A122895` `Adjacent sequences: A112710 A112711 A112712 * A112714 A112715 A112716`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 15 2005`

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.