login
Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 5, 1, 6, 7, 13, 20, ....
1

%I #12 Nov 18 2018 10:59:34

%S 1,1,0,0,0,1,2,2,1,0,0,1,2,3,2,0,0,0,2,3,3,2,0,0,1,3,4,3,1,0,0,2,3,4,

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

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

%N Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 5, 1, 6, 7, 13, 20, ....

%H Alois P. Heinz, <a href="/A219489/b219489.txt">Table of n, a(n) for n = 0..17101</a>

%H J. Berstel, <a href="http://www-igm.univ-mlv.fr/~berstel/Articles/2001ExerciceAldo.pdf">An Exercise on Fibonacci Representations</a>, 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.

%H D. A. Klarner, Representations of N as a sum of distinct elements from special sequences, <a href="http://www.fq.math.ca/Scanned/4-4/klarner-a.pdf">part 1</a>, <a href="http://www.fq.math.ca/Scanned/4-4/klarner-b.pdf">part 2</a>, Fib. Quart., 4 (1966), 289-306 and 322.

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

%K nonn,look

%O 0,7

%A _Casey Mongoven_, Nov 20 2012

%E a(0)=1 from _Alois P. Heinz_, Sep 16 2015