OFFSET
0,2
COMMENTS
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..1258
Index entries for linear recurrences with constant coefficients, signature (8,-11).
FORMULA
E.g.f.: exp(4x)cosh(sqrt(5)x).
a(n) = 8a(n-1) - 11a(n-2), a(0) = 1, a(1) = 4.
a(n) = ((4+sqrt(5))^n + (4-sqrt(5))^n)/2.
a(n+1)/a(n) converges to 4 + sqrt(5) = 6.2360679774997896964... = 4+A002163.
MATHEMATICA
CoefficientList[Series[(1-4x)/(1-8x+11x^2), {x, 0, 30}], x] (* or *) LinearRecurrence[{8, -11}, {1, 4}, 30] (* Harvey P. Dale, Jan 03 2012 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Philippe Deléham, Jul 04 2005
STATUS
approved