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A245588 The minimal number of coins needed to make change for n units in a currency system with coins of value 1,2,5,13,34,89,...,Fibonacci(2k-1).

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%I A245588 #8 May 26 2015 11:12:43
%S A245588 0,1,1,2,2,1,2,2,3,3,2,3,3,1,2,2,3,3,2,3,3,4,4,3,4,4,2,3,3,4,4,3,4,4,
%T A245588 1,2,2,3,3,2,3,3,4,4,3,4,4,2,3,3,4,4,3,4,4,5,5,4,5,5,3,4,4,5,5,4,5,5,
%U A245588 2,3,3,4,4,3,4,4,5,5,4,5,5,3,4,4,5,5,4,5,5,1,2,2,3,3,2,3,3,4,4,3,4,4,2,3,3,4
%N A245588 The minimal number of coins needed to make change for n units in a currency system with coins of value 1,2,5,13,34,89,...,Fibonacci(2k-1).
%H A245588 Alois P. Heinz, <a href="/A245588/b245588.txt">Table of n, a(n) for n = 0..10000</a>
%e A245588 a(12) = 3 because the minimal number of coins needed to make 12 = 2+5+5 is 3.
%Y A245588 Cf. A000045, A089197.
%K A245588 nonn
%O A245588 0,4
%A A245588 _Colin Barker_, Jul 26 2014
%E A245588 a(0)=0 prepended by _Alois P. Heinz_, May 26 2015