|
Search: id:A124394
|
|
|
| A124394 |
|
Inverse of Fine number renewal array. |
|
+0
2
|
|
| 1, 0, 1, -1, 0, 1, -2, -2, 0, 1, -3, -4, -3, 0, 1, -4, -5, -6, -4, 0, 1, -5, -4, -6, -8, -5, 0, 1, -6, 0, 0, -6, -10, -6, 0, 1, -7, 8, 14, 8, -5, -12, -7, 0, 1, -8, 21, 36, 36, 20, -3, -14, -8, 0, 1, -9, 40, 63, 72, 65, 36, 0, -16, -9, 0, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,7
|
|
|
COMMENT
|
Inverse of A065600. Row sums are A057681(n+1). Diagonal sums are A124395.
|
|
FORMULA
|
Riordan array ((1-2x)/(1-x)^2,x(1-2x)/(1-x)^2); Number triangle T(n,k)=sum{j=0..k+1, C(k+1,j)C(n-j+k+1,2k+1)(-2)^j};
|
|
EXAMPLE
|
Triangle begins
1,
0, 1,
-1, 0, 1,
-2, -2, 0, 1,
-3, -4, -3, 0, 1,
-4, -5, -6, -4, 0, 1,
-5, -4, -6, -8, -5, 0, 1,
-6, 0, 0, -6, -10, -6, 0, 1
|
|
CROSSREFS
|
Sequence in context: A104245 A109754 A059259 this_sequence A086460 A136431 A130020
Adjacent sequences: A124391 A124392 A124393 this_sequence A124395 A124396 A124397
|
|
KEYWORD
|
easy,sign,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Oct 30 2006
|
|
|
Search completed in 0.002 seconds
|
