|
Search: id:A097749
|
|
|
| A097749 |
|
Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. Let A(n,k) be the triangle in A097474. Then T(n,k) is defined by the orthogonality relations Sum_{j=i..r} T(r,j)*A(j,i)*2^-floor((j+3)/2) = 0 if i != r, = (2r+1)!/(r!*2^r) if i = r. |
|
+0
3
|
|
| 2, 1, 2, -1, 10, 6, 5, -35, 105, 30, -63, 420, -882, 1260, 210
(list; table; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
H. W. Gould, Power sum identities for arbitrary symmetric arrays, SIAM J. Appl. Math., 17 (1969), 307-316.
|
|
EXAMPLE
|
Triangle begins:
2
1 2
-1 10 6
5 -35 105 30
-63 420 -882 1260 210
|
|
CROSSREFS
|
Cf. A097474, A097801. Row sums give A001147. Is the left-hand edge A004193?
Sequence in context: A110179 A071559 A071560 this_sequence A126906 A134304 A134569
Adjacent sequences: A097746 A097747 A097748 this_sequence A097750 A097751 A097752
|
|
KEYWORD
|
sign,tabl,easy,more
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Sep 21 2004
|
|
|
Search completed in 0.002 seconds
|
