OFFSET
1,1
COMMENTS
Also positive integers y in the solutions to 5*x^2-3*y^2+2*x+2*y+1 = 0, the corresponding values of x being A253304.
LINKS
Colin Barker, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (1,62,-62,-1,1).
FORMULA
a(n) = a(n-1)+62*a(n-2)-62*a(n-3)-a(n-4)+a(n-5).
G.f.: -x*(x^4+3*x^3-53*x^2+27*x+2) / ((x-1)*(x^2-8*x+1)*(x^2+8*x+1)).
EXAMPLE
2 is in the sequence because O(2) = 8 = 1+7 = H(1)+H(2).
MATHEMATICA
LinearRecurrence[{1, 62, -62, -1, 1}, {2, 29, 100, 1777, 6178}, 30] (* Harvey P. Dale, Jan 10 2022 *)
PROG
(PARI) Vec(-x*(x^4+3*x^3-53*x^2+27*x+2)/((x-1)*(x^2-8*x+1)*(x^2+8*x+1)) + O(x^100))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Dec 30 2014
STATUS
approved