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A119275
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Inverse of triangle related to Pade approximation of exp(x).
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1
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1, -2, 1, 0, -6, 1, 0, 12, -12, 1, 0, 0, 60, -20, 1, 0, 0, -120, 180, -30, 1, 0, 0, 0, -840, 420, -42, 1, 0, 0, 0, 1680, -3360, 840, -56, 1, 0, 0, 0, 0, 15120, -10080, 1512, -72, 1, 0, 0, 0, 0, -30240, 75600, -25200, 2520, -90, 1, 0, 0, 0, 0, 0, -332640, 277200, -55440, 3960, -110, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Inverse of A119274. Row sums are (-1)^(n+1)*A000321(n+1).
Bell polynomials of the second kind B(n,k)(1,-2). - Vladimir Kruchinin, Mar 25 2011
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LINKS
| Eric W. Weisstein, Bell Polynomial, MathWorld.
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FORMULA
| T(n,k)=[k<=n]*(-1)^(n-k)*(n-k)!*C(n+1,k+1)*C(k+1,n-k)
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EXAMPLE
| Triangle begins
1,
-2, 1,
0, -6, 1,
0, 12, -12, 1,
0, 0, 60, -20, 1,
0, 0, -120, 180, -30, 1,
0, 0, 0, -840, 420, -42, 1,
0, 0, 0, 1680, -3360, 840, -56, 1,
0, 0, 0, 0, 15120, -10080, 1512, -72, 1
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CROSSREFS
| Sequence in context: A181297 A196776 A157982 * A129462 A122930 A066387
Adjacent sequences: A119272 A119273 A119274 * A119276 A119277 A119278
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), May 12 2006
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