Sequences

Expansion of e.g.f. (sin x + cos x)/cos 3x.

Number of switching networks (see Harrison reference for precise definition).

Number of switching networks (see Harrison reference for precise definition).

Expansion of (sin x + cos x)/cos 4x.

Number of switching networks (see Harrison reference for precise definition).

Number of switching networks (see Harrison reference for precise definition).

E.g.f.: Sum_{n >= 0} a(n) * x^(2*n) / (2*n)! = sin(x)^2 / cos(2*x).

Number of switching networks under action of GL_n(Z_2) acting on 2 variables.

Number of switching networks under action of GL_n(Z_2) acting on 3 variables.

E.g.f.: cos(x)^2 / cos(2x) = Sum_{n >= 0} a(n) * x^(2n) / (2n)!.

Number of switching networks under action of AG_n(Z_2) acting on 2 variables.

Number of switching networks under action of AG_n(Z_2) acting on 3 variables.

Expansion of (sin^2 x + sin x) /cos 2x.

Number of switching networks (see Harrison reference for precise definition).

Number of switching networks (see Harrison reference for precise definition).

Expansion of cos x (1 + sin x ) /cos 2x.

Number of switching networks (see Harrison reference for precise definition).

Number of switching networks (see Harrison reference for precise definition).

E.g.f. cos(x)/(cos(x) - sin(x)).

Number of switching networks (see Harrison reference for precise definition).

Number of switching networks (see Harrison reference for precise definition).

Expansion of e.g.f. (1 + tan(x))/(1 - tan(x)).

Number of switching networks (see Harrison reference for precise definition).

Number of switching networks (see Harrison reference for precise definition).

Expansion of e.g.f. exp(x)*(1 + tan(x))/(1 - tan(x)).

Number of switching networks (see Harrison reference for precise definition).

Number of switching networks (see Harrison reference for precise definition).

Number of partitions of n into relatively prime parts. Also aperiodic partitions.

Number of n-input 2-output switching networks under action of complementing group on the inputs and outputs.

Number of n-input 3-output switching networks under action of complementing group on the inputs and outputs.

Number of cubic bicolored graphs on n unlabeled nodes admitting an automorphism exchanging the colors.

Number of n-input 2-output switching networks under action of symmetric group S(n) on the inputs and complementing group C(2,2) on the outputs.

Number of n-input 3-output switching networks under action of symmetric group S(n) on the inputs and complementing group C(3,2) on the outputs.

Number of quartic bicolored graphs on n unlabeled nodes admitting an automorphism exchanging the colors.

Number of switching networks (see Harrison reference for precise definition).

Number of switching networks (see Harrison reference for precise definition).

a(n) = C(3n,n) - C(2n,n).

Number of n-input 2-output switching networks under action of GL(n,2) on the inputs and complementing group C(2,2) on the outputs.

Number of n-input 3-output switching networks under action of GL(n,2) on the inputs and complementing group C(3,2) on the outputs.

Number of primes <= product of first n primes, A002110(n).

Number of n-input 2-output switching networks under action of AG(n,2) on the inputs and complementing group C(2,2) on the outputs.

Number of n-input 3-output switching networks under action of AG(n,2) on the inputs and complementing group C(3,2) on the outputs.

Numbers beginning with a vowel in English.

Number of n-input 2-output switching networks under action of complementing group C(2,n) on inputs and S(2) and C(2,2) on outputs.

Number of n-input 3-output switching networks under action of complementing group C(2,n) on inputs and S(3) and C(2,3) on outputs.

Final two digits of 2^n.

Number of n-input 2-output switching networks under the action of S(n) on the inputs and S(2) and complementing group C(2,2) on the outputs.

Number of n-input 3-output switching networks under the action of S(n) on the inputs and S(3) and complementing group C(2,3) on the outputs.

Duplicate of A003436.

Number of n-input 2-output switching networks under action of S(n) and complementing group C(2,2) on inputs and outputs.