|
| |
|
|
A081035
|
|
8th binomial transform of the periodic sequence (1,9,1,1,9,1...).
|
|
4
|
|
|
|
1, 17, 209, 2273, 23201, 228017, 2186609, 20620673, 192174401, 1775688017, 16304021009, 148995991073, 1356782533601, 12321773100017, 111671069983409, 1010465414433473, 9132169221980801, 82455386442384017, 743959522093353809, 6708663007623467873, 60469158230094196001
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n) = 9*a(n-1) + 8*7^(n-1).
a(n) = 5*9^n - 4*7^n.
a(0)=1, a(1)=17, a(n)=16*a(n-1)-63*a(n-2). - Harvey P. Dale, Oct 07 2014
|
|
|
MATHEMATICA
|
CoefficientList[Series[(1 + x)/((1 - 7 x) (1 - 9 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)
LinearRecurrence[{16, -63}, {1, 17}, 30] (* Harvey P. Dale, Oct 07 2014 *)
|
|
|
PROG
|
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
