id:A112713 - OEIS Search Results

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

+0
2

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; listen)

	OFFSET	`0,1`
	COMMENT	`A transformation of the Fibonacci numbers: a(n)=mod(A112712,2).`
	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	`Sequence in context: A011558 A100047 A080891 this_sequence A143536 A080110 A122895` `Adjacent sequences: A112710 A112711 A112712 this_sequence A112714 A112715 A112716`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 15 2005`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

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