A014730 Squares of odd Lucas numbers.
1, 9, 49, 121, 841, 2209, 15129, 39601, 271441, 710649, 4870849, 12752041, 87403801, 228826129, 1568397609, 4106118241, 28143753121, 73681302249, 505019158609, 1322157322201, 9062201101801, 23725150497409, 162614600673849, 425730551631121, 2918000611027441
Offset: 0
Links
- Harvey P. Dale, Table of n, a(n) for n = 0..1594
- Index entries for linear recurrences with constant coefficients, signature (0,17,0,17,0,-1).
Programs
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Mathematica
Select[LucasL[Range[50]],OddQ]^2 (* Harvey P. Dale, Nov 13 2021 *)
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PARI
Vec(-(x-1)*(x^4+10*x^3+42*x^2+10*x+1)/((x^2-4*x-1)*(x^2+1)*(x^2+4*x-1)) + O(x^100)) \\ Colin Barker, May 14 2014
Formula
a(n) = 17*a(n-2)+17*a(n-4)-a(n-6). - R. J. Mathar, Feb 10 2012
G.f.: -(x-1)*(x^4+10*x^3+42*x^2+10*x+1) / ((x^2-4*x-1)*(x^2+1)*(x^2+4*x-1)). - Colin Barker, May 14 2014
Extensions
More terms from Colin Barker, May 14 2014