A103343 Number of representations of n as a sum of distinct elements of the Fibonacci-type sequence beginning 3, 1, 4, 5, 9, 14, 23, 37, ....

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

Offset

0,5

Links

Alois P. Heinz, Table of n, a(n) for n = 0..11933

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.

Ron Knott, Ron Knott's Sequence Visualiser.

Casey Mongoven, V(n) Rep Sequence no. 1; electronic music created with this sequence.

Crossrefs

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

Sequence in context: A098281 A207324 A352620 * A085263 A115092 A172281

Adjacent sequences: A103340 A103341 A103342 * A103344 A103345 A103346

Keyword

nonn

Author

Casey Mongoven, Feb 01 2005

Extensions

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

Status

approved