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A059382 Product J_3(i), i=1..n. 8
1, 7, 182, 10192, 1263808, 230013056, 78664465152, 35241680388096, 24739659632443392, 21474024560960864256, 28560452666077949460480, 41584019081809494414458880, 91318505903653649734151700480, 218616503133346837463559170949120 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 203, #17.

LINKS

Enrique Pérez Herrero, Table of n, a(n) for n = 1..100

Antal Bege, Hadamard product of GCD matrices, Acta Univ. Sapientiae, Mathematica, 1, 1 (2009) 43-49.

Eric Weisstein's World of Mathematics, Le Paige's Theorem

MATHEMATICA

JordanTotient[n_, k_:1]:=DivisorSum[n, #^k*MoebiusMu[n/#]&]/; (n>0)&&IntegerQ[n]; A059382[n_]:=Times@@(JordanTotient[#, 3]&/@Range[n]); (* Enrique Pérez Herrero, Aug 06 2011 *)

CROSSREFS

Cf. A001088, A059376, A059381, A059383, A059384, A175836.

Sequence in context: A219404 A202026 A302904 * A158620 A217242 A217243

Adjacent sequences:  A059379 A059380 A059381 * A059383 A059384 A059385

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 28 2001

STATUS

approved

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Last modified November 15 19:54 EST 2018. Contains 317240 sequences. (Running on oeis4.)