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Search: id:A082308
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A082308 Expansion of (1+x)exp(4x)cosh(x). +0
3
1, 5, 25, 127, 657, 3449, 18281, 97395, 519841, 2773741, 14776377, 78538343, 416367665, 2201517153, 11610231433, 61078202971, 320570884929, 1678897264085, 8775159682649, 45780628812879, 238431945108433 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A082307 a(n)=(A081105(n)+A006234(n))/2

FORMULA

a(n)=((n+3)*3^(n-1)+(n+5)*5^(n-1))/2 G.f.: ((1-4x)/(1-5x)^2+(1-2x)/(1-3x)^2)/2 E.g.f. (1+x)exp(4x)cosh(x)=(1+x)(exp(5x)+exp(3x))/2

CROSSREFS

Cf. A082309.

Sequence in context: A033141 A099524 A081916 this_sequence A026718 A060928 A002002

Adjacent sequences: A082305 A082306 A082307 this_sequence A082309 A082310 A082311

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 09 2003

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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