id:A099157 - OEIS Search Results

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4^(n-1)*U(n-1,3/2).

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0, 1, 12, 128, 1344, 14080, 147456, 1544192, 16171008, 169345024, 1773404160, 18571329536, 194481487872, 2036636581888, 21327935176704, 223349036810240, 2338941478895616, 24493713157783552, 256501494231072768 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`Index entries for sequences related to Chebyshev polynomials.`
	FORMULA	`G.f.: x/(1-12x+16x^2); E.g.f.: exp(6x)sinh(2sqrt(5)x)/sqrt(5); a(n)=12a(n-1)-16a(n-2); a(n)=sqrt(5)(sqrt(5)+1)^(2n)/20-sqrt(5)(sqrt(5)-1)^(2n)/20; a(n)=sum{k=0..n, binomial(2n, 2k+1)5^k/2}; a(n)=4^(n-1)U(n-1, 6/4) where U is the Chebyshev polynomial of the second kind.`
	CROSSREFS	`Cf. A099140.` `Adjacent sequences: A099154 A099155 A099156 this_sequence A099158 A099159 A099160` `Sequence in context: A062199 A124797 A045508 this_sequence A111777 A097783 A078218`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 01 2004`

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.

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