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A344525
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a(n) = Sum_{1 <= x_1, x_2, ... , x_n <= n} gcd(x_1,x_2, ... ,x_n).
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6
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1, 5, 30, 276, 3165, 47521, 826000, 16843792, 387723045, 10009889889, 285360865350, 8918311872516, 302888304741841, 11112685595264369, 437898699063881208, 18447025862624951488, 827242515246907227633, 39346558373191515582161
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OFFSET
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1,2
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LINKS
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Seiichi Manyama, Table of n, a(n) for n = 1..386
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FORMULA
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a(n) = Sum_{k=1..n} phi(k) * floor(n/k)^n.
a(n) ~ n^n. - Vaclav Kotesovec, May 23 2021
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MATHEMATICA
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a[n_] := Sum[EulerPhi[k] * Quotient[n, k]^n, {k, 1, n}]; Array[a, 20] (* Amiram Eldar, May 22 2021 *)
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PROG
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(PARI) a(n) = sum(k=1, n, eulerphi(k)*(n\k)^n);
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CROSSREFS
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Main diagonal of A344479.
Cf. A018806, A344140, A344522, A344523, A344524.
Sequence in context: A245247 A199131 A342389 * A277464 A258300 A276752
Adjacent sequences: A344522 A344523 A344524 * A344526 A344527 A344528
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KEYWORD
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nonn
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AUTHOR
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Seiichi Manyama, May 22 2021
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STATUS
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approved
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