|
Search: id:A110314
|
|
|
| A110314 |
|
Inverse of number triangle related to Fibonacci numbers. |
|
+0
2
|
|
| 1, -1, 1, -2, -2, 1, 0, -6, -3, 1, 0, 0, -12, -4, 1, 0, 0, 0, -20, -5, 1, 0, 0, 0, 0, -30, -6, 1, 0, 0, 0, 0, 0, -42, -7, 1, 0, 0, 0, 0, 0, 0, -56, -8, 1, 0, 0, 0, 0, 0, 0, 0, -72, -9, 1, 0, 0, 0, 0, 0, 0, 0, 0, -90, -10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110, -11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, -12, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
COMMENT
|
Row sums are 1-n^2 with g.f. (1-3x)/(1-x)^3. Diagonal sums are A110315. Inverse of A039948.
|
|
FORMULA
|
T(n, k)=if(n=k, 1, if(n-k=1, -binomial(n, 1), if(n-k=2, -2*binomial(n, 2), 0)))
|
|
EXAMPLE
|
Rows begin
1;
-1,1;
-2,-2,1;
0,-6,-3,1;
0,0,-12,-4,1;
0,0,0,-20,-5,1;
0,0,0,0,-30,-6,1;
|
|
CROSSREFS
|
Sequence in context: A120568 A065066 A064045 this_sequence A152882 A130167 A084938
Adjacent sequences: A110311 A110312 A110313 this_sequence A110315 A110316 A110317
|
|
KEYWORD
|
easy,sign,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Jul 19 2005
|
|
|
Search completed in 0.002 seconds
|
