OFFSET
0,2
COMMENTS
Partial sums are 1, 9, 57, 345, 2073, 12441, ...
Essentially the same as A084477. - R. J. Mathar, Mar 21 2016
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6).
FORMULA
G.f.: (1+2*x)/(1-6*x).
a(n) = 6*a(n-1) for n>1.
a(n) = 8*6^(n-1) for n>0.
E.g.f.: (4*exp(6*x) - 1)/3. - Elmo R. Oliveira, Mar 25 2025
MATHEMATICA
CoefficientList[Series[(1+2x)/(1-6x), {x, 0, 30}], x] (* or *) Join[{1}, NestList[6#&, 8, 30]] (* Harvey P. Dale, Oct 13 2025 *)
PROG
(PARI) Vec((1+2*x)/(1-6*x) + O(x^30))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Colin Barker, Mar 19 2016
STATUS
approved