A219482 Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 1, 9, 10, 19, 29, 48, ....

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

Offset

0,11

Links

Alois P. Heinz, Table of n, a(n) for n = 0..15360

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: A017887 A289923 A289921 * A037859 A037877 A010109

Adjacent sequences: A219479 A219480 A219481 * A219483 A219484 A219485

Keyword

nonn

Author

Casey Mongoven, Nov 20 2012

Extensions

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

Status

approved