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A125723
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Greatest common divisor of n^6 and 6^n.
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1
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1, 4, 27, 16, 1, 46656, 1, 256, 19683, 64, 1, 2985984, 1, 64, 729, 65536, 1, 34012224, 1, 4096, 729, 64, 1, 191102976, 1, 64, 387420489, 4096, 1, 46656, 1, 1073741824, 729, 64, 1, 2176782336, 1, 64, 729, 262144, 1, 46656, 1, 4096, 531441, 64, 1, 12230590464
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OFFSET
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1,2
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COMMENTS
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All terms are 3-smooth numbers (see A003586).
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LINKS
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FORMULA
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EXAMPLE
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a(12) = gcd(12^6, 6^12) = gcd((2^12)*(3^6), (2^12)*(3^12)) = (2^12)*(3^6)*gcd(1,3^6) = 2985984.
a(120) = gcd(120^6, 6^120) = gcd((2^18)*(3^6)*(5^6), (2^120)*(3^120)) = (2^18)*(3^6)*gcd(5^6, (2^102)*(3^114)) = 191102976.
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MATHEMATICA
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PROG
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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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