OFFSET
1,1
COMMENTS
The corresponding y solutions are y2(n) = A307173(n).
See A307168 for details.
The proper positive solutions (x2(n), y2(n)) are given in matrix notation by R(0)*R(2)*Auto(n)*R^{-1}(4)*R^{-1}(-1)*R^{-1}(3)*(1, 0)^T (T for transposed), with the R-matrix R(t) = Matrix([[0, -1],[1, t]]), its inverse R^{-1}(t) = Matrix([t, 1],[-1, 0]), and the automorphic matrix Auto = Matrix([2, 9],[3, 14]). The matrix power Auto^n is given in A307168 in terms of Chebyshev polynomials S(n, x=16) = A077412(n).
LINKS
FORMULA
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Mar 27 2019
STATUS
approved