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A325938
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a(n) = omega(n)^tau(n), where omega=A001221 and tau=A000005.
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1
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0, 1, 1, 1, 1, 16, 1, 1, 1, 16, 1, 64, 1, 16, 16, 1, 1, 64, 1, 64, 16, 16, 1, 256, 1, 16, 1, 64, 1, 6561, 1, 1, 16, 16, 16, 512, 1, 16, 16, 256, 1, 6561, 1, 64, 64, 16, 1, 1024, 1, 64, 16, 64, 1, 256, 16, 256, 16, 16, 1, 531441, 1, 16, 64, 1, 16, 6561, 1, 64
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OFFSET
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1,6
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LINKS
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FORMULA
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EXAMPLE
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a(5) = 1; 5 has one distinct prime divisor {5} and two divisors {1,5}, so a(5) = 1^2 = 1.
a(6) = 16; 6 has two distinct prime divisors {2,3} and four divisors {1,2,3,6}, so a(6) = 2^4 = 16.
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PROG
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(SageMath)
[ len(prime_divisors(x))^(len(divisors(x))) for x in range(1, 20) ]
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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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