Sequences

Trajectory of 31 under map x->x + (x-with-digits-reversed).

Possible digital sums of Smith numbers (conjectural).

Least Smith number having digital sum A033662(n).

Every suffix is prime.

Number of 'Reverse and Add' steps needed to reach a palindrome starting at n, or -1 if n never reaches a palindrome.

Base-2 digital convolution sequence (with smallest digits).

Base 3 digital convolution sequence, (with smallest digits).

Theta series of 4-dimensional lattice A_2 tensor A2, with det 81, minimal norm 4.

a(n) = n^6*(n^6 + 1)*(n^2 - 1).

Trajectory of 89 under map x->x + (x-with-digits-reversed).

Trajectory of 59 under map x->x + (x-with-digits-reversed).

Trajectory of 69 under map x->x + (x-with-digits-reversed).

Trajectory of 79 under map x->x + (x-with-digits-reversed).

Trajectory of 99 under map x->x + (x-with-digits-reversed).

Trajectory of 166 under map x->x + (x-with-digits-reversed).

Largest divisor of n <= sqrt(n).

Smallest divisor of n >= sqrt(n).

Number of labeled Eulerian graphs with n nodes.

a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.

a(1) = 1; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.

a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.

Numbers of the form (q^2+(q+1)^2)*(r^2+(r+1)^2), q,r >= 1.

a(n) = 1 if n is an odd square not divisible by 3, otherwise 0.

1 iff n is a square not divisible by 3.

Theta series of hexagonal lattice A_2 with respect to deep hole.

One-ninth of theta series of A2[hole]^2.

Theta series of hexagonal lattice A_2 with respect to deep hole divided by 3.

Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).

Number of extreme quadratic forms or lattices in dimension n.

Theta series of A2[hole]^4.

Minimal number of vertices in 1-1 deficient regular graph where minimal degree is 1 and maximal degree is n.

Theta series of lattice D_4 tensor D_4 (dimension 16, det. 65536, min. norm 4).

Theta series of lattice D3 tensor D3 (dimension 9, det. 4096, min. norm 4).

Theta series of lattice D3 tensor D3* (dimension 9, det. 262144, min. norm 6).

Theta series of lattice E6 tensor E6 (dimension 36, det. 531441, min. norm 4).

Theta series of lattice D_3 tensor D_4 (dimension 12, det. 16384, min. norm 4).

Theta series of lattice A_2 tensor D_5 (dimension 10, det. 3888, min. norm 4).

Theta series of lattice A_2 tensor E_6 (dimension 12, det. 6561, min. norm 4).

Theta series of lattice A_2 tensor E_7 (dimension 14, determinant 8748, minimal norm 4).

Number of connected transitive 4-valent (or quartic) graphs with n nodes.

Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).

Number of polygonal numbers which are n-digit repdigits.

Number of polygonal numbers which are repdigits with <= n digits.

Fancy primitive repdigit polygonal numbers.

Fancy primitive repdigit polygonal numbers (with multiplicity).

Values of k associated with A033705.

Values of n associated with A033705.

Number of simple repdigit polyhedral numbers with n digits.

Number of simple repdigit polyhedral numbers with <=n digits.

Number of fancy repdigit polyhedral numbers with n digits.