OFFSET
0,3
LINKS
Clark Kimberling, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (4, 1, 4, -1)
FORMULA
G.f.: x/(1 - 4 x - x^2 - 4 x^3 + x^4).
a(n) = 4*a(n-1) + a(n-2) + 4*a(n-3) - a(n-4).
a(n) = (1/7)*A290913(n) for n >= 0.
MATHEMATICA
z = 60; s = x/(1 - x)^2; p = 1 - 7 s^2;
Drop[CoefficientList[Series[s, {x, 0, z}], x], 1] (* A000027 *)
u = Drop[CoefficientList[Series[1/p, {x, 0, z}], x], 1] (* A290913 *)
u/7 (* A290914 *)
LinearRecurrence[{4, 1, 4, -1}, {0, 1, 4, 17}, 30] (* Harvey P. Dale, May 05 2019 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Aug 18 2017
STATUS
approved