Sequences

a(n) = a(n-3) + 1, with a(0)=a(2)=1, a(1)=0.

Molien series of 2-dimensional representation of SL(2,3).

Molien series for 3-dimensional representation of A_5.

Molien series of 3-dimensional representation of group GL(3,2) (= L(2,7)); a simple group of order 168.

a(n) = floor(n/2) - floor(n/3).

Expansion of 1/((1-x^2)(1-x^5)).

Expansion of 1/((1-x^2)(1-x^7)).

Expansion of 1/((1-x^2)(1-x^9)).

Positive integers repeated.

Positive integers repeated three times.

Expansion of 1/((1-x)*(1-x^4)).

Expansion of 1/((1-x^4)*(1-x^6)*(1-x^7)).

Molien series of 4-dimensional representation of SL(2,7).

Expansion of g.f. (1 + x^3)/((1 - x^2)*(1 - x^4)) = (1 - x + x^2)/((1 + x)*(1 - x)^2*(1 + x^2)).

G.f.: (1+x^3)*(1+x^5)*(1+x^6)/((1-x^4)*(1-x^6)*(1-x^7)) (or (1+x^5)(1+x^6)/((1-x^3)*(1-x^4)*(1-x^7))).

Poincaré series [or Poincare series] (or Molien series) for H*(M_11, GF(3)) and H*(M_23, GF(3)).

Molien series for A_4.

Molien series for A_5.

Molien series for A_6.

Molien series for A_7.

Molien series for alternating group Alt_8 (or A_8).

Molien series for A_9.

Molien series for A_10.

Molien series for A_11.

Molien series for alternating group Alt_12 (or A_12).

Number of partitions of n into at most 7 parts.

Number of partitions of n into at most 8 parts.

Number of partitions of n into at most 9 parts.

Number of partitions of n into at most 10 parts.

Number of partitions of n into at most 11 parts.

Number of partitions of n into at most 12 parts.

Quarter-squares repeated.

Molien series for group of 4 X 4 upper triangular matrices over GF(2).

Molien series of 5 X 5 upper triangular matrices over GF( 2 ).

Molien series of 6 X 6 upper triangular matrices over GF( 2 ).

Molien series for cyclic group of order 5.

Expansion of g.f.: (1+x^9)/((1-x^4)*(1-x^6)).

Molien series of 3 X 3 upper triangular matrices over GF( 5 ).

Molien series of 3 X 3 upper triangular matrices over GF( 3 ).

Molien series of 4 X 4 upper triangular matrices over GF( 3 ).

Molien series of binary icosahedral group.

Molien series for group of 3 X 3 upper triangular matrices over GF( 4 ).

Theta series of direct sum of 2 copies of hexagonal lattice.

Theta series of direct sum of 3 copies of hexagonal lattice.

Theta series of direct sum of 4 copies of hexagonal lattice.

Theta series of direct sum of 5 copies of hexagonal lattice.

Theta series of direct sum of 6 copies of hexagonal lattice.

Theta series of direct sum of 2 copies of D_4 lattice in powers of q^2.

Theta series of direct sum of 3 copies of D_4 lattice.

Theta series of direct sum of 4 copies of D_4 lattice.