OFFSET
0,4
LINKS
Eric Weisstein's World of Mathematics, Circuit Rank.
Eric Weisstein's World of Mathematics, Graph Co-Rank.
Eric Weisstein's World of Mathematics, Pell Graph.
Index entries for linear recurrences with constant coefficients, signature (5,-6,-2,3,1).
FORMULA
a(n) = A000129(n)*(n/2 - 1) + 1.
a(n) = 5*a(n-1) - 6*a(n-2) - 2*a(n-3) + 3*a(n-4) + a(n-5).
G.f.: -x^2*(1+x)^2/((-1+x)*(-1+2*x+x^2)^2).
MATHEMATICA
Table[Fibonacci[n + 1, 2] (n/2 - 1) + 1, {n, 0, 20}]
CoefficientList[Series[-x^2 (1 + x)^2/((-1 + x) (-1 + 2 x + x^2)^2), {x, 0, 20}], x]
LinearRecurrence[{5, -6, -2, 3, 1}, {0, 0, 1, 7, 30}, 20]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Eric W. Weisstein, Jul 31 2023
STATUS
approved
