OFFSET
0,4
LINKS
Joerg Arndt and Alois P. Heinz, Table of n, a(n) for n = 0..10000 (terms 0..200 from Joerg Arndt)
EXAMPLE
There are a(37)=182 such compositions of 37. Each of the 6 partitions of 37 into distinct Fibonacci numbers corresponds to m! compositions (where m is the number of parts):
#: partition ( m! compositions)
1: 1 2 5 8 21 (120 compositions)
2: 1 2 13 21 ( 24 compositions)
3: 1 2 34 ( 6 compositions)
4: 3 5 8 21 ( 24 compositions)
5: 3 13 21 ( 6 compositions)
6: 3 34 ( 2 compositions)
The number of compositions is 120 + 24 + 6 + 24 + 6 + 2 = 182.
CROSSREFS
KEYWORD
nonn
AUTHOR
Joerg Arndt, Oct 28 2012
STATUS
approved