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A104451 Number of representations of n as a sum of distinct elements of the Fibonacci-type sequence beginning 2, 5, 7, 12, 19, 31, 50, 81, .... 1

%I #18 Jul 07 2016 23:54:49

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

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

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

%N Number of representations of n as a sum of distinct elements of the Fibonacci-type sequence beginning 2, 5, 7, 12, 19, 31, 50, 81, ....

%H Alois P. Heinz, <a href="/A104451/b104451.txt">Table of n, a(n) for n = 0..16114</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.

%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/seqvis.html">Ron Knott's Sequence Visualiser</a>.

%Y Cf. A001060.

%K nonn,look

%O 0,8

%A _Casey Mongoven_, Mar 08 2005

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

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Last modified April 18 11:21 EDT 2024. Contains 371779 sequences. (Running on oeis4.)