id:A162815 - OEIS Search Results

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a(n) = 8*a(n-1)-13*a(n-2) for n > 1; a(0) = 5, a(1) = 23.

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5, 23, 119, 653, 3677, 20927, 119615, 684869, 3923957, 22488359, 128895431, 738814781, 4234877645, 24274429007, 139142022671, 797568604277, 4571702539493, 26205228460343, 150209694669335, 861009587370221 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Binomial transform of A162814. Inverse binomial transform of A143647.`
	FORMULA	`a(n) = ((5+sqrt(3))(4+sqrt(3))^n+(5-sqrt(3))(4-sqrt(3))^n)/2.` `G.f.: (5-17x)/(1-8x+13*x^2).`
	PROGRAM	`(MAGMA) [ n le 2 select 18n-13 else 8Self(n-1)-13*Self(n-2): n in [1..20] ];`
	CROSSREFS	`Cf. A162814, A143647.` `Sequence in context: A073596 A167248 A005393 this_sequence A033312 A151881 A121636` `Adjacent sequences: A162812 A162813 A162814 this_sequence A162816 A162817 A162818`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 18 2009`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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