A343190 -id:A343190 - cp's OEIS frontend

A343188 a(1) = a(2) = a(3) = 1; a(n+3) = Sum_{d|n} mu(n/d) * a(d).

1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -2, -2, -1, -3, -2, -2, -3, -2, -1, -4, 0, -2, -3, 0, 0, -4, 4, 0, -3, 5, 3, -4, 9, 2, -2, 11, 5, -1, 15, 4, 0, 16, 10, -1, 20, 9, 1, 24, 12, 0, 25, 12, 1, 28, 16, 0, 25, 19, 2, 26, 22, 1, 26, 21, -2, 28, 25, 0, 20, 24, -2, 23, 30, -3, 10

Offset: 1

Ilya Gutkovskiy, Apr 07 2021

sign

Cf. A007554, A307993, A318583, A343189, A343190.

a[1] = a[2] = a[3] = 1; a[n_] := a[n] = Sum[MoebiusMu[(n - 3)/d] a[d], {d, Divisors[n - 3]}]; Table[a[n], {n, 75}]

A343189 a(1) = ... = a(4) = 1; a(n+4) = Sum_{d|n} mu(n/d) * a(d).

Original entry on oeis.org

1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -1, -1, -1, -2, -2, -1, -2, -2, -3, -1, -3, -1, -4, 0, -3, 0, -5, 2, -4, 1, -5, 4, -5, 6, -6, 5, -4, 8, -6, 8, -5, 11, -5, 10, -6, 17, -6, 11, -3, 21, -7, 12, -3, 26, -5, 12, -4, 33, -4, 11, -1, 37, -5, 11, -2, 42, -1, 7, -1, 48, -2, 1, 3, 58, -3

Offset: 1

Ilya Gutkovskiy, Apr 07 2021

sign

Cf. A007554, A307994, A318583, A343188, A343190.

a[1] = a[2] = a[3] = a[4] = 1; a[n_] := a[n] = Sum[MoebiusMu[(n - 4)/d] a[d], {d, Divisors[n - 4]}]; Table[a[n], {n, 75}]

cp's OEIS Frontend

A343188 a(1) = a(2) = a(3) = 1; a(n+3) = Sum_{d|n} mu(n/d) * a(d).

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