A116402 Number of representations of n as a sum of distinct elements of the Fibonacci-type sequence beginning 1, 5, 6, 11, 17, ...

1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 3, 2, 0, 0, 0, 2, 3, 1, 0, 0, 0, 3, 3, 0, 0, 0, 2, 4, 2, 0, 0, 0, 3, 3, 0, 0, 0, 1, 4, 3, 0, 0, 0, 3, 5, 2, 0, 0, 0, 4, 4, 0, 0, 0, 2, 5, 3, 0, 0, 0, 3, 4, 1, 0, 0, 0, 4, 4, 0, 0, 0, 3, 6, 3, 0, 0, 0, 5, 5, 0, 0, 0, 2

Offset

0,7

Links

Alois P. Heinz, Table of n, a(n) for n = 0..14517

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.

Casey Mongoven, Y(n) Rep Sequence no. 1; electronic music created with this sequence.

Crossrefs

Cf. A022095, A116403, A000121.

Sequence in context: A004198 A350673 A324351 * A093323 A380305 A106278

Adjacent sequences: A116399 A116400 A116401 * A116403 A116404 A116405

Keyword

nonn

Author

Casey Mongoven, Feb 13 2006

Extensions

a(0)=1 corrected by Alois P. Heinz, Sep 16 2015

Status

approved