A202626 Order of Fibonacci group F(n,4) (or 0 if the group is infinite).

0, 5, 0, 3, 624, 125, 0, 7, 6560, 4905, 0, 11, 28560, 104845, 0, 15, 83520, 2236945, 0, 19, 194480, 43997205, 0, 23, 390624, 839065625, 0, 27, 707280, 15568306205, 0, 31, 1185920, 283472166945, 0, 35, 1874160, 5085221879845, 0, 39, 2825760, 90160039460905, 0, 43, 4100624, 1583296366510125, 0, 47, 5764800, 27584549361811505, 0, 51, 7890480

Offset: 1

Author

N. J. A. Sloane, Dec 30 2011

Keywords

• nonn

Comments

A column of the array described in A202624. See that entry for references.

Crossrefs

Cf. A202624. A202628 is a subsequence.

Programs

Maple

g:=k->(4*k+1)*(2^(4*k+1)+(-1)^k*2^(2*k+1)+1);
f:=n-> if n mod 4 = 0 then n-1 elif n mod 4 = 1 then n^4-1 elif n mod 4 = 2 then g((n-2)/4); else 0; fi;
[seq(f(n),n=1..60)];