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A134375
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a(n) = (n!)^4.
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13
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1, 1, 16, 1296, 331776, 207360000, 268738560000, 645241282560000, 2642908293365760000, 17340121312772751360000, 173401213127727513600000000, 2538767161403058526617600000000, 52643875858853821607942553600000000, 1503561738404723998944447273369600000000
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OFFSET
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0,3
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COMMENTS
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a(n) is also the determinant of the symmetric n X n matrix M defined by M(i,j) = sigma_4(gcd(i,j)) for 1 <= i,j <= n, and n>0, where sigma_4 is A001159. - Enrique Pérez Herrero, Aug 13 2011
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LINKS
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FORMULA
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a(n) = det(S(i+4,j), 1 <= i,j <= n), where S(n,k) are Stirling numbers of the second kind. - Mircea Merca, Apr 04 2013
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MAPLE
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a:= n-> (n!)^4:
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MATHEMATICA
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Table[((n)!)^(4), {n, 0, 10}]
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CROSSREFS
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Cf. A000142, A001044, A000442, A036740, A010050, A009445, A134366, A134367, A134368, A134369, A134371, A134372, A134373, A134374.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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