id:A099158 - OEIS Search Results

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5^(n-1)*U(n-1,7/5).

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0, 1, 14, 171, 2044, 24341, 289674, 3446911, 41014904, 488035881, 5807129734, 69098919251, 822206626164, 9783419785021, 116412711336194, 1385192464081191, 16482376713731824, 196123462390215761 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`Index entries for sequences related to Chebyshev polynomials.`
	FORMULA	`G.f.: x/(1-14x+25x^2); E.g.f.: exp(7x)sinh(2sqrt(6)x)/sqrt(6); a(n)=14a(n-1)-25a(n-2); a(n)=sqrt(6)(sqrt(6)+1)^(2n)/24-sqrt(6)(sqrt(6)-1)^(2n)/24; a(n)=sum{k=0..n, binomial(2n, 2k+1)6^k/2}; a(n)=5^(n-1)*U(n-1, 7/5) where U is the Chebyshev polynomial of the second kind.`
	CROSSREFS	`Cf. A099141.` `Sequence in context: A125449 A062148 A098299 this_sequence A014882 A048443 A016136` `Adjacent sequences: A099155 A099156 A099157 this_sequence A099159 A099160 A099161`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 01 2004`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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