Sequences

Oscillates under partition transform.

Oscillates under partition transform.

Oscillates under partition transform.

Oscillates under partition transform.

Low temperature antiferromagnetic susceptibility for honeycomb lattice.

Low temperature antiferromagnetic susceptibility for square lattice.

Low temperature antiferromagnetic susceptibility for diamond.

Low temperature antiferromagnetic susceptibility for cubic lattice.

Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional b.c.c. lattice.

Number of golygons of order 8n (or serial isogons of order 8n).

Almost-convex polygons of perimeter 2n on square lattice.

Almost-convex polygons of perimeter 2n on square lattice.

Almost-convex polygons of perimeter 2n on square lattice.

Number of distinct perforation patterns for deriving (v,b) = (n+2,n) punctured convolutional codes from (2,1).

Number of distinct perforation patterns for deriving (v,b) = (n+3,n) punctured convolutional codes from (2,1).

Number of distinct perforation patterns for deriving (v,b) = (n+4,n) punctured convolutional codes from (2,1).

a(n) = 2*det(M(n; -1))/det(M(n; 0)), where M(n; m) is the n X n matrix with (i,j)-th element equal to 1/binomial(n + i + j + m, n).

Number of distinct perforation patterns for deriving (v,b) = (n+2,n) punctured convolutional codes from (3,1).

a(n) = 3*binomial(4*n,n)/(n+1).

Number of distinct perforation patterns for deriving (v,b) = (n+2,n) punctured convolutional codes from (4,1).

Number of free subsets of multiplicative group of GF(2^n).

Number of free subsets of multiplicative group of GF(3^n).

Number of free subsets of multiplicative group of GF(5^n).

Number of free subsets of multiplicative group of GF(7^n).

Number of (x -> x^2)-free subsets of symmetric group.

Structure constants for certain representations of S_n.

Compressibility of hard-hexagon lattice gas model.

Number of triangles with integer sides and area = n times perimeter.

Length of longest chain of subgroups in S_n.

Energy function for hexagonal lattice.

McKay-Thompson series of class 1A for the Monster group with a(0) = 24.

McKay-Thompson series of class 2A for the Monster group with a(0) = 24.

McKay-Thompson series of class 2a for the Monster group.

McKay-Thompson series of class 3A for the Monster group with a(0) = 0.

McKay-Thompson series of class 3B for the Monster group.

McKay-Thompson series of class 3C for the Monster group.

McKay-Thompson series of class 2B for the Monster group.

McKay-Thompson series of class 4B for the Monster group.

McKay-Thompson series of class 4C for the Monster group.

McKay-Thompson series of class 4D for the Monster group.

McKay-Thompson series of class 4a for the Monster group.

McKay-Thompson series of class 5A for the Monster group.

McKay-Thompson series of class 5B for the Monster group with a(0) = 0.

McKay-Thompson series of class 5a for Monster.

McKay-Thompson series of class 6A for Monster.

McKay-Thompson series of class 6B for Monster.

McKay-Thompson series of class 6C for Monster (and, apart from signs, of class 12A).

McKay-Thompson series of class 6D for Monster.

McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).

Expansion of Product_{m>=1} (1 + q^m)^(-8).