|
|
A082412
|
|
a(n) = (2*8^n + 2^n)/3.
|
|
8
|
|
|
1, 6, 44, 344, 2736, 21856, 174784, 1398144, 11184896, 89478656, 715828224, 5726623744, 45812985856, 366503878656, 2932031012864, 23456248070144, 187649984495616, 1501199875833856, 12009599006408704, 96076792050745344, 768614336404914176
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (1-4*x)/((1-2*x)*(1-8*x));
E.g.f.: (2*exp(8*x) + exp(2*x))/3.
a(n) = (2*8^n + 2^n)/3.
|
|
MAPLE
|
|
|
MATHEMATICA
|
Table[(2*8^n+2^n)/3, {n, 0, 30}] (* or *) LinearRecurrence[{10, -16}, {1, 6}, 30] (* Harvey P. Dale, Sep 30 2018 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|