A014728 Squares of odd Fibonacci numbers.

1, 1, 9, 25, 169, 441, 3025, 7921, 54289, 142129, 974169, 2550409, 17480761, 45765225, 313679521, 821223649, 5628750625, 14736260449, 101003831721, 264431464441, 1812440220361, 4745030099481, 32522920134769

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Formula

G.f.: (-x^5-x^4+8x^3-8x^2+x+1)/[(1+x^2)(1+4x-x^2)(1-4x-x^2)].

a(n) = A014437(n)^2. - Sean A. Irvine, Nov 18 2018

Mathematica

Select[Fibonacci[Range[40]], OddQ]^2 (* Harvey P. Dale, Jan 18 2012 *)

Prog

(PARI) A014728(n)=A014437(n)^2 \\ M. F. Hasler, Nov 18 2018

Crossrefs

Cf. A014437.

Sequence in context: A084605 A098773 A089998 * A223646 A018929 A051515

Adjacent sequences: A014725 A014726 A014727 * A014729 A014730 A014731

Keyword

nonn

Author

Mohammad K. Azarian

Extensions

More terms from James A. Sellers

Status

approved