A353948 Product_{n>=1} 1 / (1 - a(n)*x^n) = 1 + Sum_{n>=1} phi(n)*x^n, where phi = A000010.

1, 0, 1, 0, 2, -3, 4, -4, 4, -10, 14, -25, 30, -48, 48, -86, 128, -192, 286, -470, 578, -1000, 1386, -2423, 3172, -5198, 7102, -11994, 16414, -25820, 38056, -61444, 86658, -141564, 203396, -324640, 475536, -767110, 1100728, -1810752, 2601166, -4118166, 6114666

Offset

1,5

Links

Table of n, a(n) for n=1..43.

Mathematica

A[m_, n_] := A[m, n] = Which[m == 1, EulerPhi[n], m > n >= 1, 0, True, A[m - 1, n] - A[m - 1, m - 1] A[m - 1, n - m + 1]]; a[n_] := A[n, n]; a /@ Range[1, 43]

Crossrefs

Cf. A000010, A320778, A328774, A353925, A353945, A353947, A353949.

Sequence in context: A211509 A305594 A320778 * A334049 A058277 A065852

Adjacent sequences: A353945 A353946 A353947 * A353949 A353950 A353951

Keyword

sign

Author

Ilya Gutkovskiy, May 12 2022

Status

approved