id:A098178 - OEIS Search Results

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Expansion of (1+x)(1-x+x^2)/((1-x)(1+x^2)).

+0
4

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

	OFFSET	`0,5`
	COMMENT	`Transform of A011782 under the Chebyshev mapping g(x)-> ((1-x^2)/(1+x^2))g(x/(1+x^2)). Binomial transform is A098179.` `Multiplicative with a(2) = 0, a(2^e) = 2 if e >= 2, a(p^e) = 1. David W. Wilson (davidwwilson(AT)comcast.net) Jun 12, 2005.`
	FORMULA	`a(n)=1+cos(pi*n/2)-0^n; a(n)=a(n-1)-a(n-2)+a(n-3), n>2.`
	CROSSREFS	`Sequence in context: A114114 A090787 A096661 this_sequence A007877 A118825 A118822` `Adjacent sequences: A098175 A098176 A098177 this_sequence A098179 A098180 A098181`
	KEYWORD	`easy,nonn,mult`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 30 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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