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A239672
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Product_{i=1..n} J_6(i) where J_6(i) = A069091(i).
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2
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1, 63, 45864, 184923648, 2889247076352, 132512427909808128, 15589822118733106642944, 4022922418094840702998413312, 2135013202351949099169693925638144, 2101519115233451721701919767332732796928, 3722967203782973732098252983015976113725767680
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OFFSET
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1,2
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COMMENTS
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This is the generalized factorial for A069091.
a(n) is also the determinant of the symmetric n X n matrix M defined by M(i,j) = gcd(i,j)^6 for 1 <= i,j <= n.
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 203, #17.
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LINKS
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PROG
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(Sage)
q=15 # change q for more terms
J6=[i^6*prod([1-1/p^6 for p in prime_divisors(i)]) for i in [1..q]]
[prod(J6[0:i+1]) for i in [0..q-1]]
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CROSSREFS
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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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