A129691 Inverse of A054523.
1, -1, 1, -2, 0, 1, -1, -1, 0, 1, -4, 0, 0, 0, 1, 2, -2, -1, 0, 0, 1, -6, 0, 0, 0, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0, 1, -2, 0, -2, 0, 0, 0, 0, 0, 1, 4, -4, 0, 0, -1, 0, 0, 0, 0, 1, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, -1, -2, 0, -1, 0, 0, 0, 0, 0, 1
Offset: 1
Examples
First few rows of the triangle: 1; -1, 1; -2, 0, 1; -1, -1, 0, 1; -4, 0, 0, 0, 1; 2, -2, -1, 0, 0, 1; ...
Links
- Andrew Howroyd, Table of n, a(n) for n = 1..1275
Programs
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PARI
T(n,k)={if(n%k, 0, sumdivmult(n/k, d, d*moebius(d)))} \\ Andrew Howroyd, Aug 03 2018
Formula
A054523^(-1), as an infinite lower triangular matrix.
T(n,k) = A023900(n/k) for k | n, T(n,k) = 0 otherwise. - Andrew Howroyd, Aug 03 2018
Extensions
Terms a(56) and beyond from Andrew Howroyd, Aug 03 2018
Comments