OFFSET
0,2
COMMENTS
Numerators are A088210.
LINKS
Paolo Xausa, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (4,-2,-4,-1).
FORMULA
G.f.: (1-2*x+x^2+2*x^3)/(1-2*x-x^2)^2.
a(n) = A000129(n+1) + (n-1)*A000129(n), where A000129 are the Pell numbers. [Corrected by Paolo Xausa, Feb 08 2024]
EXAMPLE
A088210(3)/a(3) = [2;2,2,4] = 53/22.
MATHEMATICA
LinearRecurrence[{4, -2, -4, -1}, {1, 2, 7, 22}, 30] (* Paolo Xausa, Feb 08 2024 *)
CROSSREFS
KEYWORD
frac,nonn
AUTHOR
Paul D. Hanna, Sep 23 2003
STATUS
approved