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A343282
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Number of ordered 5-tuples (v,w, x, y, z) with gcd(v, w, x, y, z) = 1 and 1 <= {v, w, x, y, z} <= 10^n.
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5
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1, 96601, 9645718621, 964407482028001, 96438925911789115351, 9643875373658964992585011, 964387358678775616636890654841, 96438734235127451288511508421855851, 9643873406165059293451290072800801506621
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OFFSET
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0,2
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REFERENCES
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Joachim von zur Gathen and Jürgen Gerhard, Modern Computer Algebra, Cambridge University Press, Second Edition 2003, pp. 53-54.
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LINKS
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FORMULA
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Lim_{n->infinity} a(n)/10^(5*n) = 1/zeta(5) = A343308.
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PROG
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(Python)
from labmath import mobius
def A343282(n): return sum(mobius(k)*(10**n//k)**5 for k in range(1, 10**n+1))
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CROSSREFS
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Related counts of k-tuples:
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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