A332683 - OEIS

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

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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