Sequences

Truncated octahedral numbers: 16*n^3 - 33*n^2 + 24*n - 6.

Number of points on surface of truncated cube: a(n) = 46*n^2 + 2 for n > 0.

Truncated cube numbers.

a(n) = floor(tau*a(n-1)) + floor(tau*a(n-2)) with a(0)=1 and a(1)=3.

Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).

Hexagonal prism numbers: a(n) = (n + 1)*(3*n^2 + 3*n + 1).

Molien series for a certain group of order 52.

Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4.

Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).

Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.

Tricapped prism numbers.

From solution to a difference equation.

a(1)=1; a(n) = n!*Fibonacci(n+2), n > 1.

From solution to a difference equation.

From solution to a difference equation.

Theta series of diamond.

Theta series of diamond with respect to midpoint of edge.

Theta series of diamond with respect to deep hole.

G.f.: s(1)^3/s(3), where s(k) = eta(q^k) and eta(q) is Dedekind's function, cf. A010815.

Theta series of hexagonal net with respect to midpoint of edge.

Theta series of D_5 lattice.

Theta series of the coset of the E_7 lattice in its dual.

Erroneous version of A003781.

Theta series of laminated lattice LAMBDA_9.

Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).

Pseudoprimes to base 3.

Pseudoprimes to base 5.

Pseudoprimes to base 6.

Pseudoprimes to base 7.

Pseudoprimes to base 10.

The Doudna sequence: write n-1 in binary; power of prime(k) in a(n) is # of 1's that are followed by k-1 0's.

Inverse of the Doudna sequence A005940.

a(2n) = a(n) + a(n+1), a(2n+1) = 2a(n+1), if n >= 2.

Factor complexity (number of subwords of length n) of the Golay-Rudin-Shapiro binary word A020987.

Theta series of 18-dimensional lattice associated with Sp_4(4), with det 1024 and minimal norm 4.

Number of n-step mappings with 4 inputs.

Number of n-step mappings with 5 inputs.

Tumbling distance for n-input mappings with 2 steps.

Tumbling distance for n-input mappings with 3 steps.

Tumbling distance for n-input mappings with 4 steps.

Theta series of 18-dimensional lattice associated with Sp_4(4), with det 256 and minimal norm 3.

Theta series of P_{9a} packing.

Theta series of P_{12a} packing.

Theta series of P_{11a} packing.

Theta series of P_{10b} packing.

Number of acyclic secondary alcohols with n carbon atoms.

Number of acyclic tertiary alcohols with n carbon atoms.

Number of acyclic ketone and aldehyde stereo-isomers with n carbon atoms.

Number of esters with n carbon atoms up to stereo-isomerism.

Number of acyclic ethylene derivatives with n carbon atoms.