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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
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1, 3, 60, 10500, 18522000, 359400888000, 81408613942656000, 224737840779305293440000, 7812628980363223707442752000000, 3508978524227146242839564498172672000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| 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
| Table[ 1/Det[ Table[ i*j/(i+j-1), {i, n}, {j, n}]], {n, 1, 12}]
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CROSSREFS
| Cf. A000108, A000891, A001700.
Sequence in context: A201699 A006821 A165626 * A022915 A093883 A203468
Adjacent sequences: A120304 A120305 A120306 * A120308 A120309 A120310
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KEYWORD
| nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Jul 15 2006
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