A240225 - OEIS

%I #15 Jan 23 2017 20:57:48

%S 0,1,1,3,2,3,5,2,6,5,5,9,3,6,9,5,12,7,9,12,3,10,9,9,17,7,12,16,7,18,

%T 12,12,18,4,10,14,9,21,12,17,22,7,21,16,16,27,9,18,23,12,27,15,18,22,

%U 4,15,14,14,27,12,21,27,12,32,22,22,34,9,21,27,16,36

%N Total number of parts of the partitions of n into distinct Fibonacci numbers.

%C For n=0 the empty partition has no parts.

%C For these partitions see the array A240224 for which the present sequence is the row length sequence.

%H Alois P. Heinz, <a href="/A240225/b240225.txt">Table of n, a(n) for n = 0..17711</a>

%F a(n) is the total number of parts of the A000119(n) partitions of n, each having distinct Fibonacci numbers F(n) = A000045(n), n>=2, as parts.

%F G.f.: Sum_{k>=2} x^Fibonacci(k)/(1 + x^Fibonacci(k)) * Product_{k>=2} (1 + x^Fibonacci(k)). - _Ilya Gutkovskiy_, Jan 23 2017

%Y Cf. A240224, A000119, A000045.

%K nonn,look

%O 0,4

%A _Wolfdieter Lang_, Apr 07 2014

%E More terms from _Alois P. Heinz_, Sep 16 2015