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 A103197 Number of compositions of n into Fibonacci number of parts. 0
 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; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..34. FORMULA a(n) = Sum_{k=0..n} binomial(n-1, k-1)*A010056(k). a(n) = Sum_{k>1} (x/(1-x))^Fibonacci(k). MATHEMATICA Flatten[{1, 2, 4, Table[SeriesCoefficient[Sum[(x/(1-x))^Fibonacci[k], {k, 2, n}], {x, 0, n}], {n, 4, 35}]}] (* Vaclav Kotesovec, May 01 2014 *) CROSSREFS Cf. A102848, A052467. Sequence in context: A189600 A005251 A014167 * A307543 A255062 A307058 Adjacent sequences: A103194 A103195 A103196 * A103198 A103199 A103200 KEYWORD easy,nonn AUTHOR Vladeta Jovovic, Mar 18 2005 STATUS approved

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Last modified August 7 14:24 EDT 2024. Contains 375013 sequences. (Running on oeis4.)