id:A067333 - OEIS Search Results

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Convolution of Fibonacci F(n+1), n>=0, with F(n+5), n>=0.

+0
1

5, 13, 31, 65, 130, 250, 469, 863, 1565, 2805, 4980, 8772, 15349, 26705, 46235, 79705, 136886, 234302, 399845, 680515, 1155385, 1957293, 3309096, 5584200, 9407525, 15823765, 26577559, 44579633, 74681770 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Fifth diagonal of A067330. Fifth column of A067418.`
	FORMULA	`a(n)= A067330(n+4, n) = A067418(n+4, 4) = sum(F(k+1)F(n+5-k), k=0..n), n>=0.` `a(n)= ((18n+25)F(n+1)+11(n+1)F(n))/5, with F(n) := A000045(n) (Fibonacci).` `G.f.: (5+3x)/(1-x-x^2)^2.`
	CROSSREFS	`Sequence in context: A023261 A165888 A109419 this_sequence A118646 A097969 A082280` `Adjacent sequences: A067330 A067331 A067332 this_sequence A067334 A067335 A067336`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 15 2002`

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.

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