Sequences

Decimal expansion of log_2(9).

Decimal expansion of log_2(10).

Decimal expansion of log_2(11).

Decimal expansion of log(12)/log(2).

Number of forests in Moebius ladder M_n.

Number of strong edge-subgraphs in Moebius ladder M_n.

Number of forests with no isolated vertices in Moebius ladder M_n.

Number of single component edge-subgraphs in Moebius ladder M_n.

Number of single component forests in Moebius ladder M_n.

Number of strong single-component edge-subgraphs in Moebius ladder M_n.

Number of spanning trees in a Moebius ladder M_n with 2n vertices.

Number of restricted forests in Moebius ladder M_n.

a(n) is number of cycles in Moebius ladder M_n.

Number of paths in Moebius ladder M_n.

Number of (undirected) Hamiltonian paths in n-Moebius ladder.

a(n) = ((5+sqrt(5))/2)^n + ((5-sqrt(5))/2)^n.

Number of matchings in Moebius ladder M_n.

Number of maximum matchings in the n-Moebius ladder M_n.

Number of elementary edge-subgraphs in Moebius ladder M_n.

Number of strong elementary edge-subgraphs in Moebius ladder M_n.

Number of strong restricted edge-subgraphs in Moebius ladder M_n.

Ordered hypotenuses (with multiplicity) of primitive Pythagorean triangles.

Ordered long legs of primitive Pythagorean triangles.

Ordered short legs of primitive Pythagorean triangles.

Ordered areas (divided by 6) of primitive Pythagorean triangles (with multiple entries).

Ordered semiperimeters of primitive Pythagorean triangles.

Ordered set of a + b - c as (a,b,c) runs through all primitive Pythagorean triples with a<b<c.

Ordered set of (a + b - c)/2 as (a,b,c) runs through all primitive Pythagorean triples with a<b<c.

Ordered set of b + c - a as (a,b,c) runs through all primitive Pythagorean triples with a<b<c.

Ordered set of (b + c - a)/2 as (a,b,c) runs through all primitive Pythagorean triples with a < b < c.

Ordered set of c + a - b as (a,b,c) runs through all primitive Pythagorean triples with a<b<c.

Ordered set of (c + a - b)/2 as (a,b,c) runs through all primitive Pythagorean triples with a<b<c.

Squarefree sums of two squares; or squarefree numbers with no prime factors of the form 4k+3.

Nonnegative numbers that are sums of two nonzero cubes.

Cubefree sums of two nonzero cubes.

Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.

Sum of two nonzero rational cubes.

Positive cubefree integers n such that the Diophantine equation X^3 + Y^3 = n*Z^3 has solutions.

Numbers k with an odd number of terms in their Zeckendorf representation (write k as a sum of non-consecutive distinct Fibonacci numbers).

Greatest k such that k-th prime < twice n-th prime.

Greatest k such that k-th prime < 3 times n-th prime.

Number of nonisomorphic cyclic subgroups of alternating group A_n (or number of distinct orders of even permutations of n objects); number of different LCM's of partitions of n which have even number of even parts.

Lim f(f(...f(n))) where f is the fractal sequence given by f(n)=A002260(n+1).

Positions of 2 in A020903; complement of A191777.

Sum of n plus its prime factors associated with A020700.

Triangle where n-th row is the first n terms of the sequence in reverse order, starting with a(1) = 1 and a(2) = 2.

Position of n-th 2 in A020906.

Number of terms in Zeckendorf representation of 2^n.

Number of bits in the base-2 representation of the n-th Fibonacci number.

Number of terms in Zeckendorf representation of 3^n.