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Row sums of inverse of sequence array for Euler phi function.
1

%I #9 Nov 16 2024 02:56:49

%S 1,0,-1,0,-1,2,-1,-2,5,-4,1,0,-7,18,-9,-12,17,-24,31,6,-67,94,-49,-60,

%T 157,-230,217,118,-619,758,-461,-252,1509,-2490,1867,780,-4531,6932,

%U -5543,-820,11885,-21248,17591,2586,-32415,58070,-54325,-56

%N Row sums of inverse of sequence array for Euler phi function.

%F G.f.: 1/(Sum_{j>=0} phi(j+1)*x^j*(1-x)).

%t T[n_, k_] := If[k <= n, EulerPhi[n - k + 1], 0]; With[{max = 48}, Tinv = Inverse[Table[T[n, k], {n, 0, max - 1}, {k, 0, max - 1}]]; Total[Transpose[Table[Tinv[[n, k]], {n, 1, max}, {k, 1, max}]]]] (* _Amiram Eldar_, Nov 16 2024 *)

%Y Cf. A000010, A106476, A106477, A106478, A106479.

%K easy,sign

%O 0,6

%A _Paul Barry_, May 03 2005