id:A103197 - OEIS Search Results

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Number of compositions of n into Fibonacci number of parts.

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1, 2, 4, 7, 12, 21, 37, 65, 115, 208, 386, 727, 1367, 2536, 4630, 8376, 15217, 28170, 53620, 104843, 208547, 416448, 824990, 1608138, 3071813, 5747106, 10561032, 19177849, 34734782, 63495907, 118601911, 228454377, 454988025, 932297291 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n) = Sum_{k=0..n} binomial(n-1, k-1)*A010056(k).` `a(n) = Sum_{k>1} (x/(1-x))^Fibonacci(k).`
	CROSSREFS	`Cf. A102848, A052467.` `Sequence in context: A100671 A005251 A014167 this_sequence A000709 A054161 A023433` `Adjacent sequences: A103194 A103195 A103196 this_sequence A103198 A103199 A103200`
	KEYWORD	`easy,nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 18 2005`

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

AT&T Labs Research