A332683 a(n) = Sum_{k=1..n, gcd(n, k) = 1} ceiling(n/k).

1, 2, 5, 6, 12, 8, 20, 15, 23, 18, 37, 19, 47, 28, 38, 37, 66, 31, 76, 41, 61, 52, 96, 44, 96, 63, 89, 66, 129, 49, 141, 84, 109, 88, 129, 72, 176, 101, 132, 95, 198, 77, 210, 116, 142, 129, 232, 99, 226, 122, 186, 144, 269, 114, 232, 149, 214, 169, 305, 110

Offset

1,2

Comments

Moebius transform of A006590.

Links

Table of n, a(n) for n=1..60.

Formula

a(n) = Sum_{d|n} mu(n/d) * A006590(d).

Mathematica

Table[Sum[Boole[GCD[n, k] == 1] Ceiling[n/k], {k, 1, n}], {n, 1, 60}]

Prog

(PARI) a(n) = sum(k=1, n, if (gcd(n, k) == 1, ceil(n/k))); \\ Michel Marcus, Feb 21 2020

Crossrefs

Cf. A006590, A008683, A116477, A332682.

Sequence in context: A110975 A190120 A069789 * A086334 A346759 A198331

Adjacent sequences: A332680 A332681 A332682 * A332684 A332685 A332686

Keyword

nonn

Author

Ilya Gutkovskiy, Feb 19 2020

Status

approved