A084136 - OEIS

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A084136

Binomial transform of cosh(sqrt(2)x)^2.

1, 1, 5, 13, 57, 201, 797, 2997, 11569, 44113, 169205, 647197, 2478825, 9488025, 36327821, 139071813, 532438369, 2038379425, 7803827429, 29876310829, 114379413657, 437893003113, 1676441901821, 6418134825429, 24571362963601 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`a(n)=(A084058(n)+1)/2.`
	FORMULA	`a(n)=(1+sqrt(8))^n/4+(1-sqrt(8))^n/4+1/2; E.g.f.: exp(x)cosh(sqrt(2)x)^2`
	CROSSREFS	`Cf. A084137.` `Sequence in context: A149550 A149551 A149552 * A091147 A149553 A149554` `Adjacent sequences: A084133 A084134 A084135 * A084137 A084138 A084139`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 16 2003`

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Last modified February 15 14:37 EST 2012. Contains 205822 sequences.