OFFSET
0,2
COMMENTS
a(n)/a(n-1) tends to -3.
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (-1,6).
FORMULA
G.f.: (1+4*x)/(1+x-6*x^2).
a(n) = Sum_{k=0..n} A112555(n,k)*2^k.
a(n) = (6*2^n - (-3)^n)/5. - Klaus Brockhaus, Sep 26 2009
E.g.f.: exp(-3*x)*(-1 + 6*exp(5*x))/5. - Elmo R. Oliveira, Feb 27 2026
MATHEMATICA
nxt[{a_, b_}]:={b, 6a-b}; NestList[nxt, {1, 3}, 30][[;; , 1]] (* or *) LinearRecurrence[{-1, 6}, {1, 3}, 30] (* Harvey P. Dale, May 24 2024 *)
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Philippe Deléham, Sep 17 2009
STATUS
approved
