|
|
A166153
|
|
a(n) = (7^n+14*(-8)^n)/15.
|
|
3
|
|
|
1, -7, 63, -455, 3983, -29463, 252511, -1902439, 16043055, -122579639, 1020990719, -7885450503, 65060930767, -506646158935, 4150058281887, -32522243182247, 264925506967919, -2086171125173751, 16921999515377215
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 56*a(n-2)-a(n-1), a(0)= 1, a(1)= -7, for n>1.
G.f.: (1-6*x)/(1+x-56*x^2).
a(n) = Sum_{k=0..n} A112555(n,k)*(-8)^k.
E.g.f.: (1/15)*(exp(7*x) + 14*exp(-8*x)). - G. C. Greubel, May 01 2016
|
|
MATHEMATICA
|
LinearRecurrence[{-1, 56}, {1, -7}, 50] (* G. C. Greubel, May 01 2016 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|