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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 J├╝rgen 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.)