A116403 Number of representations of n as a sum of distinct elements of the Fibonacci-type sequence beginning 4, 1, 5, 6, 11, ...

1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 3, 2, 0, 0, 2, 3, 3, 2, 0, 1, 3, 4, 3, 1, 0, 2, 3, 4, 3, 0, 0, 3, 5, 4, 2, 0, 2, 4, 5, 3, 0, 0, 3, 4, 4, 3, 0, 1, 4, 6, 5, 2, 0, 3, 5, 6, 4, 0, 0, 4, 6, 5, 3, 0, 2, 5, 6, 4, 1, 0, 3, 4, 5, 4, 0, 0, 4, 7, 6, 3, 0, 3, 6, 8, 5, 0, 0, 5, 7

Offset

0,6

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

Crossrefs

Cf. A116402, A000121.

Sequence in context: A285007 A194527 A104244 * A123149 A185158 A185700

Adjacent sequences: A116400 A116401 A116402 * A116404 A116405 A116406

Keyword

nonn

Author

Casey Mongoven, Feb 13 2006

Extensions

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

Status

approved