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Search: id:A120307
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| A120307 |
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Inverse determinant of n X n matrix M[i,j] = i*j/(i+j-1). |
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+0
1
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| 1, 3, 60, 10500, 18522000, 359400888000, 81408613942656000, 224737840779305293440000, 7812628980363223707442752000000, 3508978524227146242839564498172672000000
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OFFSET
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1,2
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FORMULA
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a(n) = 1/Det[ Table[ i*j/(i+j-1), {i, n}, {j, n}]]. a(n+1)/a(n) = A000891[n] = (2n)!(2n+1)! / (n! (n+1)!)^2 = (2n+1)*CatalanNumber[n]^2 = (2n+1)*A000108[n]^2 = C(2n+1,n+1)*CatalanNumber[n] = A001700[n]*A000108[n].
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MATHEMATICA
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Table[ 1/Det[ Table[ i*j/(i+j-1), {i, n}, {j, n}]], {n, 1, 12}]
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CROSSREFS
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Cf. A000108, A000891, A001700.
Sequence in context: A085990 A036770 A006821 this_sequence A022915 A093883 A128075
Adjacent sequences: A120304 A120305 A120306 this_sequence A120308 A120309 A120310
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KEYWORD
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nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 15 2006
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