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Search: id:A082307
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A082307 Expansion of (1+x)exp(3x)cosh(x). +0
4
1, 4, 16, 66, 280, 1208, 5248, 22816, 98944, 427392, 1838080, 7870976, 33568768, 142637056, 604045312, 2550276096, 10737713152, 45097779200, 188979871744, 790276734976, 3298540650496, 13743907405824, 57174629810176 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A002306; a(n)=(A082308(n)+A079028(n))/2

FORMULA

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

CROSSREFS

Cf. A082308.

Sequence in context: A026872 A081915 A026762 this_sequence A099782 A109034 A110276

Adjacent sequences: A082304 A082305 A082306 this_sequence A082308 A082309 A082310

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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