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A009123 Expansion of cosh(ln(1+sin(x))). +0
3
1, 0, 1, -3, 8, -30, 136, -693, 3968, -25260, 176896, -1351383, 11184128, -99680490, 951878656, -9695756073, 104932671488, -1202439837720, 14544442556416, -185185594118763, 2475749026562048, -34674437196568950 (list; graph; listen)
OFFSET

0,4

COMMENT

a(2n) = 1/2*A000182(n+1), a(2n+1) = A012007(n+1) = A009567(2n+1)+1.

|a(n)| = number of even alternating permutations on n letters (offset 1). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 20 2007

MATHEMATICA

Cosh[ Log[ 1+Sin[ x ] ] ]

CROSSREFS

Cf. A000111.

Sequence in context: A096161 A161779 A074501 this_sequence A066764 A059171 A078619

Adjacent sequences: A009120 A009121 A009122 this_sequence A009124 A009125 A009126

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 December 1 19:22 EST 2009. Contains 167811 sequences.


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