id:A090018 - OEIS Search Results

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a(n)=6a(n-1)+3a(n-2), a(0)=1, a(1)=6.

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1, 6, 39, 252, 1629, 10530, 68067, 439992, 2844153, 18384894, 118841823, 768205620, 4965759189, 32099171994, 207492309531, 1341251373168, 8669985167601, 56043665125110, 362271946253463, 2341762672896108 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`Index entries for sequences related to Chebyshev polynomials.`
	FORMULA	`a(n)=(3+2sqrt(3))^n(sqrt(3)/4+1/2)+(1/2-sqrt(3)/4)(3-2sqrt(3))^n; a(n)=U(n, isqrt(3))(-isqrt(3))^n, i^2=-1.`
	PROGRAM	`(Other) sage: [lucas_number1(n, 6, -3) for n in xrange(1, 21)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]`
	CROSSREFS	`Sequence in context: A037592 A037683 A145664 this_sequence A006256 A052392 A147961` `Adjacent sequences: A090015 A090016 A090017 this_sequence A090019 A090020 A090021`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Nov 19 2003`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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