|
| |
|
|
A122434
|
|
Expansion of (1+x)^3/(1+x+x^2).
|
|
1
|
|
|
|
1, 2, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
COMMENTS
|
Row sums of number triangle A122433. Binomial transform is A077859.
|
|
|
LINKS
|
Table of n, a(n) for n=0..68.
|
|
|
FORMULA
|
a(n)=2*sqrt(3)*cos(2*pi*n/3+pi/6)/3+C(1,n)+C(0,n)
a(n) = -A049347(n) if n>=2 . - R. J. Mathar, Feb 08 2008
|
|
|
MATHEMATICA
|
CoefficientList[Series[(1+x)^3/(1+x+x^2), {x, 0, 70}], x] (* or *) PadRight[ {1, 2, 0}, 71, {-1, 1, 0}] (* From Harvey P. Dale, Apr 25 2012 *)
|
|
|
CROSSREFS
|
Sequence in context: A116377 A131964 A065339 * A141571 A164067 A113706
Adjacent sequences: A122431 A122432 A122433 * A122435 A122436 A122437
|
|
|
KEYWORD
|
easy,sign
|
|
|
AUTHOR
|
Paul Barry, Sep 04 2006
|
|
|
STATUS
|
approved
|
| |
|
|