login
Number of partitions of Fibonacci(n) into even Fibonacci numbers.
2

%I #7 Oct 31 2013 12:17:25

%S 0,0,1,0,0,2,0,0,6,0,0,52,0,0,1471,0,0,135029,0,0,41906834,0,0,

%T 45729175098,0,0

%N Number of partitions of Fibonacci(n) into even Fibonacci numbers.

%C a(3i-1)=a(3i+1)=0.

%t cl = CoefficientList[ Series[1/Product[(1 - x^Fibonacci[3i]), {i, 8}], {x, 0, 46368}], x]; cl[[Table[Fibonacci[i] + 1, {i, 21}]]] (* _Robert G. Wilson v_ *)

%Y Cf. A098641-A098644.

%K nonn

%O 1,6

%A Marcel Dubois de Cadouin (dubois.ml(AT)club-internet.fr), Oct 27 2004

%E More terms from _Franklin T. Adams-Watters_ and _Robert G. Wilson v_, Mar 28 2006