A383012 a(n) = Sum_{d|n} mu(n/d) * (-n)^(d-1).

1, -3, 8, -60, 624, -7805, 117648, -2096640, 43046640, -1000009989, 25937424600, -743008120140, 23298085122480, -793714780783665, 29192926025339776, -1152921504338411520, 48661191875666868480, -2185911559749714602652, 104127350297911241532840

Offset

1,2

Links

Table of n, a(n) for n=1..19.

Formula

a(n) = [x^n] Sum_{k>=1} mu(k) * log(1 + n*x^k) / k.

a(n) = [x^n] Sum_{k>=1} mu(k) * x^k / (1 + n*x^k).

Prog

(PARI) a(n) = sumdiv(n, d, moebius(n/d)*(-n)^(d-1));

Crossrefs

Main diagonal of A383011.

Cf. A008683, A075147, A382998, A383003.

Sequence in context: A132517 A027262 A062358 * A110385 A333898 A224230

Adjacent sequences: A383009 A383010 A383011 * A383013 A383014 A383015

Keyword

sign

Author

Seiichi Manyama, Apr 12 2025

Status

approved