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Search: id:A135281
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| A135281 |
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A triangular sequence based on a two sequence lower triangular matrix. a(n)=(-1)^n*(n-1)!; b[n]=(n-1)!; M(i,j)={{a(i),b(j)},{b(j),a(i+1)}}; a0(i,j)=Det[M(i,j)]; This method gives an tridiagonal matrix effect to a lower triangular matrix base. |
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+0
1
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| 1, -1, -2, 2, 5, 3, -18, -39, -23, -4, 1152, 2064, 872, 119, 5, -720000, -1122000, -331400, -26755, -719, -6, 5598720000, 7985952000, 1768046400, 84475980, 1128024, 5039, 7, -658683809280000, -887001391584000, -157639245422400, -4880494582740, -33169857336, -63204617, -40319, -8
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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(n+2) factor is added to get the Integer result instead of a rational result in the polynomials.
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FORMULA
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a(n)=(-1)^n*(n-1)!; b[n]=(n-1)!; m(i,j)=If[i > j, (-1)^(i + j)*((a[j + 1]*a[j + 2] - b[i + 1]^2)/(n + 1)!)/(j!*(i - j)!), 0] t(n,m)=(n+2)*Coefficients of Characteristic polynomials of inverse of m(i,j)
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EXAMPLE
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{1},
{-1, -2},
{2, 5, 3},
{-18, -39, -23, -4},
{1152, 2064, 872,119, 5},
{-720000, -1122000, -331400, -26755, -719, -6},
{5598720000, 7985952000, 1768046400, 84475980,1128024, 5039, 7},
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CROSSREFS
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Adjacent sequences: A135278 A135279 A135280 this_sequence A135282 A135283 A135284
Sequence in context: A133440 A006800 A113177 this_sequence A068465 A025498 A128971
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KEYWORD
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uned,sign
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 15 2008
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