Sequences

Partial sums of A005001.

Numerator of Bernoulli(2n+2) - Bernoulli(2n).

Denominator of Bernoulli(2n+2) - Bernoulli(2n).

Numerator of |Bernoulli(2n+2)| - |Bernoulli(2n)|.

Denominator of |Bernoulli(2n+2)| - |Bernoulli(2n)|.

Unary-binary rooted trees with n nodes.

a(n) = (n-1)!*(2^n-1) for n>=1, a(0)=0.

Number of increasing mobiles with n elements.

Expansion of eta(q^2)^12 / theta_3(q)^3 in powers of q.

Theta series of 10-dimensional lattice (C6 X SU(4,2)):C2 with minimal norm 4.

Hyperbolic Coxeter groups of rank n.

Every digit that appears in k also appears at least once in k^2.

Squares k^2 in which the digits of k appear.

Numbers k in which the digits of k^2 appear.

Squares k^2 whose digits appear in k.

Digits of n appear in n^3.

Cubes k such that digits of cube root of k appear in k.

Digits of n^3 appear in n.

Numbers n such that digits of n appear in cube root of n.

Numbers k such that every digit that appears in k also appears at least once in both k^2 and k^3.

Squares such that digits of sqrt(n) appear in both n and n^(3/2).

Cubes such that digits of cube root of n appear in both n^(2/3) and n.

Exclusionary squares: numbers n such that no digit of n is present in n^2.

Squares such that digits of sqrt(n) are not present in n.

Numbers k whose cube k^3 has no digit in common with k.

Cubes such that digits of cube root of n are not present in n.

Numbers k such that k^2 and k^3 do not have any common digits.

Squares such that digits of sqrt(n) are not present in n^(3/2).

Cubes such that digits of n^(2/3) are not present in n.

None of the digits in k is present in k^2 or k^3.

Squares k such that digits of sqrt(k) are not present in k or k^(3/2).

Cubes k such that digits of cube root of k are not present in k^(2/3) or k.

Numbers k such that k and k^2 have the same set of digits.

Squares n such that sqrt(n) and n have the same set of digits.

Numbers k such that k and k^3 have the same set of digits.

Cubes k such that cube root of k and k have the same set of digits.

Numbers k such that k^2 and k^3 have the same set of digits.

Squares k such that k and k^(3/2) have the same set of digits.

Cubes k such that k^(2/3) and k have same digits.

Numbers k such that k, k^2 and k^3 all have the same set of digits.

Squares k such that sqrt(k), k and k^(3/2) all have the same digits.

Cubes k such that k^(1/3), k^(2/3) and k all have the same digits.

Numbers that are palindromic in base 8.

Numbers that are palindromic in bases 8 and 10.

Numbers k such that k^2 is palindromic in base 8.

n in base 8 is a palindromic square.

a(n) = (1/(8*n)) * Sum_{d|n} mu(n/d) * binomial(2*d,d)^3.

Number of Lyndon words (aperiodic necklaces) with 3n beads of 3 colors, n beads of each color. One color labeled, the other two unlabeled.

Number of Lyndon words (aperiodic necklaces) with 4n beads of 4 colors, n beads of each color. One color labeled, the other 3 unlabeled.

Erroneous version of A033809, A046067.