A219483 Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 2, 7, 9, 16, 25, 41, ....

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

Offset

0,10

Links

Alois P. Heinz, Table of n, a(n) for n = 0..13153

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: A231642 A288318 A354099 * A239927 A069846 A239657

Adjacent sequences: A219480 A219481 A219482 * A219484 A219485 A219486

Keyword

nonn

Author

Casey Mongoven, Nov 20 2012

Extensions

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

Status

approved