A106479 First column in inverse of Euler phi sequence matrix.

1, -1, -1, 1, -1, 3, -3, -1, 7, -9, 5, -1, -7, 25, -27, -3, 29, -41, 55, -25, -73, 161, -143, -11, 217, -387, 447, -99, -737, 1377, -1219, 209, 1761, -3999, 4357, -1087, -5311, 11463, -12475, 4723, 12705, -33133, 38839, -15005, -35001, 90485, -112395, 54269, 92435, -262555, 328759, -165839, -244533

Offset: 0

Author

Paul Barry, May 03 2005

Keywords

• easy
• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..8642

Crossrefs

Cf. A000010, A106476, A106477, A106478, A106480.

Programs

Mathematica

T[n_, k_] := If[k <= n, EulerPhi[n - k + 1], 0]; With[{max = 52}, Inverse[Table[T[n, k], {n, 0, max}, {k, 0, max}]][[;; , 1]]] (* Amiram Eldar, Nov 16 2024 *)

Formula

G.f.: 1/Sum_{k>=0} phi(k+1)*x^k.