|
|
A081337
|
|
a(n) = (8^n + 4^n)/2.
|
|
4
|
|
|
1, 6, 40, 288, 2176, 16896, 133120, 1056768, 8421376, 67239936, 537395200, 4297064448, 34368126976, 274911461376, 2199157473280, 17592722915328, 140739635838976, 1125908496777216, 9007233614479360, 72057731476881408
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Binomial transform of A081336. 6th binomial transform of (1,0,4,0,16,0,64,....).
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 12*a(n-1) -32*a(n-2), a(0)=1, a(1)=6.
G.f.: (1-6*x)/((1-4*x)*(1-8*x)).
E.g.f.: exp(6*x) * cosh(2*x).
|
|
MATHEMATICA
|
CoefficientList[Series[(1 - 6 x) / ((1 - 4 x) (1 - 8 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Aug 08 2013 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|