Sequences

Tersum n + 21.

Tersum n + 22.

Tersum n + 23.

Tersum n + 24.

Generalized nim sum n + n in base 4.

Generalized nim sum n + n in base 5.

Generalized nim sum n + n in base 6.

Generalized nim sum n + n in base 7.

Generalized nim sum n + n in base 8.

Generalized nim sum n + n in base 9.

Generalized nim sum n + n in base 10.

Generalized nim sum n + n in base 11.

Generalized nim sum n + n in base 12.

Two even followed by one odd; or floor(2n/3).

Three even followed by one odd.

One even followed by three odd.

Nonnegative integers repeated, floor(n/2).

Ratios of successive terms are 1,2,2,3,4,4,5,6,6,...

Ratios of successive terms are 1,2,2,2,3,4,4,4,5,6,6,6,7,...

Ratios of successive terms are 1,1,1,2,3,3,3,4,5,5,5,6,...

Expansion of (theta_2(0, x) + theta_3(0, x) + theta_4(0, x)) / 2 in powers of x^(1/4).

Number of integer solutions to x^2 + 4 * y^2 = n.

Theta series of {D_10}^{+} lattice.

Theta series of 12-dimensional unimodular lattice {D_12}^{+}.

Theta series of {D_14}^{+} lattice.

Theta series of 14-dimensional unimodular lattice (E7+E7)+.

Theta series of 15-dimensional unimodular lattice A15+.

Theta series of 23-dimensional shorter Leech lattice.

a(n) = 3*n^2 + 3*n - 1.

Expansion of sqrt(2) in base 2.

Expansion of sqrt(2) in base 3.

Expansion of sqrt(2) in base 4.

Expansion of sqrt(2) in base 5.

Expansion of sqrt(2) in base 6.

Expansion of sqrt(2) in base 7.

Expansion of sqrt(2) in base 8.

Expansion of sqrt(2) in base 9.

Expansion of sqrt(3) in base 2.

Expansion of sqrt(3) in base 3.

Expansion of sqrt(3) in base 4.

Expansion of sqrt(3) in base 5.

Expansion of sqrt(3) in base 6.

Expansion of sqrt(3) in base 7.

Expansion of sqrt(3) in base 8.

Expansion of sqrt(3) in base 9.

Expansion of sqrt(5) in base 2.

Expansion of sqrt(5) in base 3.

Expansion of sqrt(5) in base 4.

Expansion of sqrt(5) in base 5.

Expansion of sqrt(5) in base 6.