A219484 - OEIS

%I #11 Sep 16 2015 09:59:51

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

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

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

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

%H Alois P. Heinz, <a href="/A219484/b219484.txt">Table of n, a(n) for n = 0..16347</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 0,12

%A _Casey Mongoven_, Nov 20 2012

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