id:A105866 - OEIS Search Results

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A generalized Chebyshev transform of the Fibonacci numbers.

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0, 1, 1, 6, 9, 33, 62, 185, 393, 1062, 2409, 6193, 14542, 36441, 87129, 215478, 520073, 1277441, 3098334, 7583481, 18439977, 45050950, 109690537, 267731409, 652322286, 1591394457, 3878780921, 9460182998, 23062009545, 56239784865 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Apply the Riordan array (1/(1-2x^2),x/(1-2x^2)) to A000045.`
	FORMULA	`G.f.: x/(1-x-5x^2+2x^3+4x^4); a(n)=sum{k=0..floor(n/2), 2^kC(n-k, k)Fib(n-2k)}.`
	CROSSREFS	`Adjacent sequences: A105863 A105864 A105865 this_sequence A105867 A105868 A105869` `Sequence in context: A054871 A091519 A086491 this_sequence A084007 A046634 A025628`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 23 2005`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

AT&T Labs Research