A219489 Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 5, 1, 6, 7, 13, 20, ....

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

Offset

0,7

Links

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

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.

Crossrefs

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

Sequence in context: A015199 A234044 A323258 * A051168 A367895 A368127

Adjacent sequences: A219486 A219487 A219488 * A219490 A219491 A219492

Keyword

nonn,look

Author

Casey Mongoven, Nov 20 2012

Extensions

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

Status

approved