Sequences

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 18 (most significant digit on right).

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 19 (most significant digit on right).

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 20 (most significant digit on right).

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 21 (most significant digit on right).

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 22 (most significant digit on right).

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 23 (most significant digit on right).

Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 24 (most significant digit on right).

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 25 (most significant digit on right).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 2 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 3 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 4 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 5 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 6 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 7 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 8 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 9 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 10 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 11 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 12 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 13 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 14 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 15 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 16 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 17 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 18 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 19 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 20 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 21 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 22 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 23 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 24 (most significant digit on right and removing all least significant zeros before concatenation).

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 25 (most significant digit on right and removing all least significant zeros before concatenation).

Theta series of 6-dimensional lattice of det 8.

Near Cullen numbers: k such that (k+1)*2^k + 1 is prime.

Theta series of 10-dimensional 2-modular lattice of minimal norm 2.

Expansion of 1/( (1-x)*(1-34*x+x^2) ).

Expansion of g.f. 1/(1 - 34*x + x^2).

Expansion of 1/(1 - 32*x + x^2).

a(n + 3) = 35*a(n + 2) - 35*a(n + 1) + a(n), with a(0) = 0, a(1) = 6, a(2) = 210.

Highest minimal norm for an (even or odd) 2-modular lattice in dimension n.

Highest minimal norm for an (even or odd) 3-modular lattice in dimension n.

Expansion of phi(x) / f(-x) in powers of x where phi(), f() are Ramanujan theta functions.

Quasi-Carmichael numbers to base 10: squarefree composites n such that (n,2*3*5*7) = 1 and prime p|n ==> p-10|n-10.

Quasi-Carmichael numbers to base 9: squarefree composites n such that (n,2*3*5*7) = 1 and prime p|n ==> p-9|n-9.

Quasi-Carmichael numbers to base 8: squarefree composites n such that (n,2*3*5*7) = 1 and prime p|n ==> p-8|n-8.

Quasi-Carmichael numbers to base 7: squarefree composites n such that (n,2*3*5) = 1 and prime p|n ==> p-7|n-7.

Quasi-Carmichael numbers to base 6: squarefree composites n such that (n,2*3*5) = 1 and prime p|n ==> p-6|n-6.

Quasi-Carmichael numbers to base 5: squarefree composites n such that (n,2*3) = 1 and prime p|n ==> p-5|n-5.

Quasi-Carmichael numbers to base 4: squarefree composites n such that (n,2*3) = 1 and prime p|n ==> p-4|n-4.

Quasi-Carmichael numbers to base 3: squarefree composites n such that prime p|n ==> p-3|n-3.