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A059382
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Product J_3(i), i=1..n (cf. A059376).
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5
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1, 7, 182, 10192, 1263808, 230013056, 78664465152, 35241680388096, 24739659632443392, 21474024560960864256, 28560452666077949460480, 41584019081809494414458880, 91318505903653649734151700480, 218616503133346837463559170949120
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(n) is also the determinant of the symmetric n X n matrix M defined by M(i,j) = gcd(i,j)^3 for 1 <= i,j <= n - Avi Peretz (njk(AT)netvision.net.il), Mar 22 2001
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 203, #17.
Antal Bege, Hadamard product of GCD matrices, Acta Univ. Sapientiae, Mathematica, 1, 1 (2009) 43-49
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LINKS
| Enrique Pérez Herrero, Table of n, a(n) for n = 1..100
Eric Weisstein's World of Mathematics, Le Paige's Theorem
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MATHEMATICA
| JordanTotient[n_, k_:1]:=DivisorSum[n, #^k*MoebiusMu[n/#]&]/; (n>0)&&IntegerQ[n]; A059382[n_]:=Times@@(JordanTotient[#, 3]&/@Range[n]); (* From Enrique Pérez Herrero, Aug 06 2011 *)
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CROSSREFS
| Cf. A001088.
Cf. A175836, A001088, A059381, A059383, A059384
Sequence in context: A080484 A068339 A202026 * A158620 A152436 A176338
Adjacent sequences: A059379 A059380 A059381 * A059383 A059384 A059385
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 28 2001
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