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A219479 Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 1, 6, 7, 13, 20, 33, 53, .... 1

%I #13 Sep 16 2015 10:28:22

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

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

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

%N Number of representations of n as a sum of distinct elements of the generalized Fibonacci sequence beginning 1, 6, 7, 13, 20, 33, 53, ....

%D J. Berstel, An Exercise on Fibonacci Representations, RAIRO/Informatique Theorique, Vol. 35, No 6, 2001, pp. 491-498.

%H Alois P. Heinz, <a href="/A219479/b219479.txt">Table of n, a(n) for n = 0..17101</a>

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

%H C. Mongoven, <a href="http://caseymongoven.com/b1490">Musical Composition Based on This Sequence</a>.

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

%K nonn

%O 0,8

%A _Casey Mongoven_, Nov 20 2012

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

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)