id:A098554 - OEIS Search Results

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G.f.: x*(1-x^2)/((1+x^2)*(1+x+x^2).

+0
4

0, 1, -1, -2, 3, 1, -4, 1, 3, -2, -1, 1, 0, 1, -1, -2, 3, 1, -4, 1, 3, -2, -1, 1, 0, 1, -1, -2, 3, 1, -4, 1, 3, -2, -1, 1, 0, 1, -1, -2, 3, 1, -4, 1, 3, -2, -1, 1, 0, 1, -1, -2, 3, 1, -4, 1, 3, -2, -1, 1, 0, 1, -1, -2, 3, 1, -4, 1, 3, -2, -1, 1, 0, 1, -1, -2, 3, 1, -4, 1, 3, -2, -1, 1, 0, 1, -1, -2, 3, 1, -4, 1, 3, -2, -1, 1, 0, 1, -1, -2, 3, 1, -4, 1, 3, -2 (list; graph; listen)

	OFFSET	`0,4`
	REFERENCES	`G. I. Lehrer and G. B. Segal, Homology stability for classical regular semisimple varieties, Math. Zeit., 236 (2001), 251-290; see Th. 7.12.`
	LINKS	`Index entries for sequences related to linear recurrences with constant coefficients`
	FORMULA	`Let b(n)=sum{k=0..floor(n/2), binomial(n-k, k)(0^(n-2k)-(-1)^(n-2k)}. Then a(n)=b(n)-b(n-2), or a(n)=sum{j=0..n, b(n-j)(binomial(1, j/2)(-1)^(j/2)(1+(-1)^j)/2}. The g.f. is obtained from the g.f. x/(1+x) of 0^n-(-1)^n by applying the transformation G(x)->((1-x^2)/(1+x^2))G(x/(1+x^2)). - Paul Barry (pbarry(AT)wit.ie), Oct 26 2004`
	CROSSREFS	`Sequence in context: A138967 A035612 A089555 this_sequence A109201 A002946 A035426` `Adjacent sequences: A098551 A098552 A098553 this_sequence A098555 A098556 A098557`
	KEYWORD	`sign`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Oct 26 2004`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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