A072110 - OEIS

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A072110

a(n) = 4*a(n-1) - a(n-2) - 2, with a(0)=1, a(1)=2.

1, 2, 5, 16, 57, 210, 781, 2912, 10865, 40546, 151317, 564720, 2107561, 7865522, 29354525, 109552576, 408855777, 1525870530, 5694626341, 21252634832, 79315912985, 296011017106, 1104728155437, 4122901604640, 15386878263121 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	MATHEMATICA	`a[0] = 1; a[1] = 2; a[n_] := a[n] = 4*a[n - 1] - a[n - 2] - 2; Table[ a[n], {n, 0, 25} ]`
	PROG	`sage: [lucas_number1(n, 4, 1)+1 for n in range(26)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 06 2008`
	CROSSREFS	`a(n) = A071954(n)/2 = A001353(n) + 1.` `Sequence in context: A195931 A082789 A180678 * A197158 A188314 A114296` `Adjacent sequences: A072107 A072108 A072109 * A072111 A072112 A072113`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 30 2002`

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.