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 A343282 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. 5
 1, 96601, 9645718621, 964407482028001, 96438925911789115351, 9643875373658964992585011, 964387358678775616636890654841, 96438734235127451288511508421855851, 9643873406165059293451290072800801506621 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES Joachim von zur Gathen and Jürgen Gerhard, Modern Computer Algebra, Cambridge University Press, Second Edition 2003, pp. 53-54. LINKS Chai Wah Wu, Table of n, a(n) for n = 0..15 FORMULA Lim_{n->infinity} a(n)/10^(5*n) = 1/zeta(5) = A343308. a(n) = A082544(10^n). - Chai Wah Wu, Apr 11 2021 PROG (Python) from labmath import mobius def A343282(n): return sum(mobius(k)*(10**n//k)**5 for k in range(1, 10**n+1)) CROSSREFS Cf. A082544, A013663, A342586, A342841, A343193. Related counts of k-tuples: pairs: A018805, A342632, A342586; triples: A071778, A342935, A342841; quadruples: A082540, A343527, A343193; 5-tuples: A343282; 6-tuples: A343978, A344038. - N. J. A. Sloane, Jun 13 2021 Sequence in context: A031676 A205613 A205351 * A224569 A224570 A224577 Adjacent sequences:  A343279 A343280 A343281 * A343283 A343284 A343285 KEYWORD nonn AUTHOR Karl-Heinz Hofmann, Apr 10 2021 EXTENSIONS Edited by N. J. A. Sloane, Jun 13 2021 STATUS approved

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Last modified July 28 11:14 EDT 2021. Contains 346326 sequences. (Running on oeis4.)