id:A081278 - OEIS Search Results

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Binomial transform of Chebyshev polynomial coefficients A001793.

+0
3

1, 6, 29, 126, 513, 1998, 7533, 27702, 99873, 354294, 1240029, 4290894, 14703201, 49955454, 168466797, 564390342, 1879706817, 6227425638, 20533285917, 67411165086, 220442258241, 718277586606, 2332658764269, 7552375012566 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = (n^2+8n+9)3^(n-2). a(n)=9a(n-1)-27a(n-2)+27a(n-3), a(0)=1, a(1)=6, a(2)=29 (corrected by Paolo P. Lava (ppl(AT)spl.at), Jun 16 2008). G.f.: (1-2x)(1-x)/(1-3x)^3.`
	CROSSREFS	`Cf. A007051, A006234, A081279.` `Sequence in context: A006816 A061648 A111644 this_sequence A054146 A081674 A008549` `Adjacent sequences: A081275 A081276 A081277 this_sequence A081279 A081280 A081281`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 16 2003`

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

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