OFFSET
1,2
COMMENTS
It seems that this is also the first row of the spectral array W(sqrt(10)-2).
It also seems that, for all k>0, the first row of W(sqrt(k^2+1)-k+1) has a generating function of the form x*(1+(2*k+1)*x-2*k*x^3)/(1-(2*k+2)*x^2+2*k*x^4).
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 1..1000
A. Fraenkel and C. Kimberling, Generalized Wythoff arrays, shuffles and interspersions, Discrete Mathematics 126 (1994) 137-149.
Index entries for linear recurrences with constant coefficients, signature (0,8,0,-6).
MATHEMATICA
CoefficientList[Series[(1 + 7 x - 6 x^3)/(1 - 8 x^2 + 6 x^4), {x, 0, 40}], x] (* Vincenzo Librandi, Oct 25 2014 *)
LinearRecurrence[{0, 8, 0, -6}, {1, 7, 8, 50}, 30] (* Harvey P. Dale, Sep 22 2019 *)
PROG
(PARI) Vec((1+7*x-6*x^3)/(1-8*x^2+6*x^4) + O(x^100))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Oct 25 2014
STATUS
approved