A280933 - OEIS

%I #6 Jan 11 2017 03:24:00

%S 1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,

%T 1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,

%U 1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0

%N Expansion of Product_{k>=2} (1 + x^(Fibonacci(k)^2)).

%C Number of partitions of n into distinct squares of Fibonacci numbers (with a single type of 1).

%H <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>

%H <a href="/index/Par#partN">Index entries for related partition-counting sequences</a>

%F G.f.: Product_{k>=2} (1 + x^(Fibonacci(k)^2)).

%e a(10) = 1 because we have [9, 1].

%t CoefficientList[Series[Product[1 + x^Fibonacci[k]^2, {k, 2, 20}], {x, 0, 105}], x]

%Y Cf. A000119, A000121, A003107, A007598, A239002, A033461, A280168.

%K nonn

%O 0

%A _Ilya Gutkovskiy_, Jan 11 2017