A219479 Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 1, 6, 7, 13, 20, 33, 53, ....

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

Offset

0,8

References

J. Berstel, An Exercise on Fibonacci Representations, RAIRO/Informatique Theorique, Vol. 35, No 6, 2001, pp. 491-498.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..17101

D. A. Klarner, Representations of N as a sum of distinct elements from special sequences, Fib. Quart., 4 (1966), 289-306 and 322.

C. Mongoven, Musical Composition Based on This Sequence.

Crossrefs

Cf. A000121, A000119, A067595, A003263, A103344.

Sequence in context: A048158 A275342 A246838 * A113448 A123863 A244560

Adjacent sequences: A219476 A219477 A219478 * A219480 A219481 A219482

Keyword

nonn

Author

Casey Mongoven, Nov 20 2012

Extensions

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

Status

approved