A082307 - OEIS

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A082307

Expansion of (1+x)exp(3x)cosh(x).

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; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`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 * A099782 A109034 A110276` `Adjacent sequences: A082304 A082305 A082306 * A082308 A082309 A082310`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 09 2003`

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Last modified February 15 21:16 EST 2012. Contains 205856 sequences.