A105866 - OEIS

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A105866

A generalized Chebyshev transform of the Fibonacci numbers.

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; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`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	`Sequence in context: A180325 A192425 A147415 * A084007 A046634 A166624` `Adjacent sequences: A105863 A105864 A105865 * A105867 A105868 A105869`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 23 2005`

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Last modified February 17 23:08 EST 2012. Contains 206085 sequences.