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Search: id:A067624
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A067624 Sqrt((1+cos(y))/2)= sum(n>=0,(-1)^n*y^(2n)/a(n)). +0
1
1, 8, 384, 46080, 10321920, 3715891200, 1961990553600, 1428329123020800, 1371195958099968000, 1678343852714360832000, 2551082656125828464640000, 4714400748520531002654720000, 10409396852733332453861621760000 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=A000165(2n+1) where A000165(k) are the double factorial numbers 2^k*k!=(2k)!!

MAPLE

for n from 0 to 30 by 2 do printf(`%d, `, 2^(n)*(n)!) od:

CROSSREFS

Cf. A000165.

Adjacent sequences: A067621 A067622 A067623 this_sequence A067625 A067626 A067627

Sequence in context: A038016 A072447 A096205 this_sequence A096204 A085806 A042115

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 02 2002

EXTENSIONS

More terms and Maple code from James A. Sellers (sellersj(AT)math.psu.edu), Feb 11, 2002

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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