A009567 - OEIS

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A009567

Expansion of sinh(ln(1+sin(x))).

0, 1, -1, 2, -8, 31, -136, 692, -3968, 25261, -176896, 1351382, -11184128, 99680491, -951878656, 9695756072, -104932671488, 1202439837721, -14544442556416, 185185594118762, -2475749026562048, 34674437196568951 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`a(2n) = 1/2*A000182(n+1), a(2n+1) = A012007(n+1)-1. Cf. A009123.` `\|a(n)\| = number of odd alternating permutations on n letters (offset 1). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 20 2007`
	MATHEMATICA	`Sinh[ Log[ 1+Sin[ x ] ] ]`
	CROSSREFS	`Cf. A000111.` `Sequence in context: A150816 A150817 A150818 * A150819 A003175 A129427` `Adjacent sequences: A009564 A009565 A009566 * A009568 A009569 A009570`
	KEYWORD	`sign,easy`
	AUTHOR	`R. H. Hardin (rhhardin(AT)att.net)`
	EXTENSIONS	`Extended with signs Mar 15 1997 by Olivier Gerard.`

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Last modified February 14 14:47 EST 2012. Contains 205623 sequences.