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Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 3, 7, 10, 17, 27, 44, ....
1

%I #11 Sep 16 2015 10:02:47

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

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

%U 1,0,0,4,0,0,3,0,0,0,3,0,0,5,0,0,2,0,0,0,4,0,0,4,0,0,0,2,0,0,5,0,0

%N Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 3, 7, 10, 17, 27, 44, ....

%H Alois P. Heinz, <a href="/A219485/b219485.txt">Table of n, a(n) for n = 0..14140</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

%O 0,11

%A _Casey Mongoven_, Nov 20 2012

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