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A097749
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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.
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2
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2, 1, 2, -1, 10, 6, 5, -35, 105, 30, -63, 420, -882, 1260, 210
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| H. W. Gould, Power sum identities for arbitrary symmetric arrays, SIAM J. Appl. Math., 17 (1969), 307-316.
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EXAMPLE
| Triangle begins:
2
1 2
-1 10 6
5 -35 105 30
-63 420 -882 1260 210
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CROSSREFS
| Cf. A097474, A097801. Row sums give A001147. Is the left-hand edge A004193?
Sequence in context: A110179 A071559 A071560 * A126906 A179508 A134304
Adjacent sequences: A097746 A097747 A097748 * A097750 A097751 A097752
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KEYWORD
| sign,tabl,easy,more
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Sep 21 2004
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