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 A103344 Number of representations of n as a sum of distinct elements of the Fibonacci-type sequence beginning 1, 4, 5, 9, 14, 23, 37, 60, .... 21
 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 3, 2, 0, 0, 2, 3, 1, 0, 0, 3, 3, 0, 0, 2, 4, 2, 0, 0, 3, 3, 0, 0, 1, 4, 3, 0, 0, 3, 5, 2, 0, 0, 4, 4, 0, 0, 2, 5, 3, 0, 0, 3, 4, 1, 0, 0, 4, 4, 0, 0, 3, 6, 3, 0, 0, 5, 5, 0, 0, 2, 6, 4, 0, 0, 4, 6, 2, 0, 0, 5, 5, 0, 0, 3, 6, 3, 0, 0, 4, 4, 0, 0, 1, 5, 4, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..19308 J. Berstel, An Exercise on Fibonacci Representations, RAIRO/Informatique Theorique, Vol. 35, No 6, 2001, pp. 491-498, in the issue dedicated to Aldo De Luca on the occasion of his 60th anniversary. D. A. Klarner, Representations of N as a sum of distinct elements from special sequences, part 1, part 2, Fib. Quart., 4 (1966), 289-306 and 322. Ron Knott, Ron Knott's Sequence Visualiser. Casey Mongoven, U(n) Rep Sequence no. 1; electronic music created with this sequence. Casey Mongoven, Sonification of multiple Fibonacci-related sequences, Annales Mathematicae et Informaticae, 41 (2013) pp. 175-192. MATHEMATICA imax = 10; f[1] = 1; f[2] = 4; f[n_] := f[n] = f[n-1] + f[n-2]; p = Product[1+x^f[i], {i, 1, imax}]; CoefficientList[p, x][[1;; f[imax]+1]] (* Jean-François Alcover, May 08 2019 *) CROSSREFS Cf. A000121, A000119, A067595, A003263, A103343. Sequence in context: A303708 A319138 A281081 * A123484 A008626 A058626 Adjacent sequences:  A103341 A103342 A103343 * A103345 A103346 A103347 KEYWORD nonn AUTHOR Casey Mongoven, Feb 01 2005 EXTENSIONS a(0)=1 corrected by Alois P. Heinz, Sep 16 2015 STATUS approved

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Last modified October 23 14:54 EDT 2019. Contains 328345 sequences. (Running on oeis4.)