A219495 Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 7, 2, 9, 11, 20, 31, 51, ....

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

Offset

0,10

Links

Alois P. Heinz, Table of n, a(n) for n = 0..16347

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: A035211 A352558 A324735 * A242041 A224937 A035193

Adjacent sequences: A219492 A219493 A219494 * A219496 A219497 A219498

Keyword

nonn

Author

Casey Mongoven, Nov 20 2012

Extensions

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

Status

approved