id:A115638 - OEIS Search Results

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A Jacobsthal-related divide-and-conquer sequence.

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1, -1, 5, -1, -3, -1, 21, -1, -3, -1, -11, -1, -3, -1, 85, -1, -3, -1, -11, -1, -3, -1, -43, -1, -3, -1, -11, -1, -3, -1, 341, -1, -3, -1, -11, -1, -3, -1, -43, -1, -3, -1, -11, -1, -3, -1, -171, -1, -3, -1, -11, -1, -3, -1, -43, -1, -3, -1, -11, -1, -3, -1, 1365, -1, -3, -1, -11, -1, -3, -1, -43 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Partial sums are A115637.`
	LINKS	`R. Stephan, Divide-and-conquer generating functions. I. Elementary sequences`
	FORMULA	`G.f.: sum{k>=0, 4^kx^(2^(k+1)-2)/(1+x^(2^k))}; The g.f. G(x) satisfies G(x)-4x^2G(x^2)=1/(1+x).`
	CROSSREFS	`Cf. A001045.` `Sequence in context: A134568 A121267 A111740 this_sequence A055515 A136744 A068237` `Adjacent sequences: A115635 A115636 A115637 this_sequence A115639 A115640 A115641`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 27 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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