id:A084156 - OEIS Search Results

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Binomial transform of sinh(x)cosh(sqrt(3)x).

+0
2

0, 1, 2, 13, 44, 181, 662, 2521, 9368, 35113, 130922, 489061, 1824836, 6811741, 25420670, 94875313, 354076208, 1321442641, 4931681234, 18405321661, 68689566044, 256353060613, 956722558310, 3570537526921, 13325427195080 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n)=4a(n-1)+2a(n-2)-12a(n-3)+3a(n-4), a(0)=0, a(1)=1; a(n)=((2+sqrt(3))^n+(2-sqrt(3))^n-(sqrt(3))^n-(-sqrt(3))^n)/4; G.f.: x(1-2x+3x^2)/((1-3x^2)(1-4x+x^2)); E.g.f. : exp(x)sinh(x)cosh(sqrt(3)x).`
	CROSSREFS	`Cf. A084157, A084154.` `Adjacent sequences: A084153 A084154 A084155 this_sequence A084157 A084158 A084159` `Sequence in context: A026594 A102296 A025194 this_sequence A002534 A117717 A005584`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 16 2003`

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.

AT&T Labs Research