Sequences

Second-order Eulerian numbers <<n,3>>.

a(n) = Sum_{k=0..5} binomial(n,k).

Product k^(2^(k-2)), k = 2..n.

Erroneous version of A014221.

Diagonal length function.

Number of shapes of height-balanced AVL trees with n nodes.

A continued cotangent.

Continued cotangent for the golden ratio.

A continued cotangent.

A continued cotangent.

Denominators of a continued fraction for (1 + sqrt(5))/2.

Numerators of a continued fraction for 1 + sqrt(2).

Denominators of a continued fraction for 1 + sqrt(2).

Numerators of a continued fraction for (3+sqrt(13))/2.

First differences of A006268.

Pierce expansion of sqrt(2) - 1.

Pierce expansion of (3 - sqrt(5))/2.

a(n) = (a(n-1) + 1)*a(n-2).

a(n) is the product of the first n primes congruent to 1 (mod 4).

Denominators of convergents to Cahen's constant: a(n+2) = a(n)^2*a(n+1) + a(n).

Partial quotients in continued fraction expansion of Cahen's constant.

Partial quotients in continued fraction expansion of 2C-1, where C is Cahen's constant.

Sorting numbers: number of comparisons in Batcher's parallel sort.

Pierce expansion for 1 / Pi.

Pierce expansion for Euler's constant.

Odd numbers not of form p + 2^k (de Polignac numbers).

Numbers not of form p + 2^x + 2^y.

Sum of squares of digits of ternary representation of n.

Loxton-van der Poorten sequence: base-4 representation contains only -1, 0, +1.

Number of series-reduced 2-connected graphs with n nodes.

Number of 3-connected graphs with n nodes.

Pseudo-bricks with n nodes.

Pseudo-bricks with n nodes.

Pseudo-bricks with n nodes.

Number of rooted planar maps with n edges.

Number of genus 1 rooted maps with 2 faces with n vertices.

Number of genus 1 rooted maps with 3 faces with n vertices.

Number of rooted genus-1 maps with n edges.

Number of genus 2 rooted maps with 1 face with n vertices.

Number of rooted genus-2 maps with n edges.

Number of rooted maps with n edges on torus.

Number of rooted genus-2 maps with n edges.

Related to enumeration of rooted maps.

Related to enumeration of rooted maps.

Coefficients of the '2nd-order' mock theta function A(q).

Taylor series related to one in Ramanujan's Lost Notebook.

Coefficients of the '2nd-order' mock theta function mu(q).

Number of ways writing 2^n as unordered sums of 2 primes.

Coefficients of period polynomials.

Coefficients of period polynomials.