Sequences

Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19).

Inverse of 553rd cyclotomic polynomial.

a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=1.

Inverse of 555th cyclotomic polynomial.

Decimal expansion of rabbit constant.

Sierpiński numbers of the first kind: n^n + 1.

Numbers k such that k and sigma(k) are relatively prime, where sigma(k) = sum of divisors of k (A000203).

Inverse of 559th cyclotomic polynomial.

Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).

Inverse of 561st cyclotomic polynomial.

Consider the Morse-Thue sequence (A010060) as defining a binary constant and convert it to decimal.

Continued fraction for Thue-Morse constant.

Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.

Average of twin prime pairs.

Vampire numbers (definition 2): numbers n with an even number of digits which have a factorization n = i*j where i and j have the same number of digits and the multiset of the digits of n coincides with the multiset of the digits of i and j.

Smallest n-digit narcissistic (or Armstrong) number: smallest n-digit number equal to sum of n-th powers of its digits (or 0 if no such number exists).

The regular paper-folding sequence (or dragon curve sequence). Alphabet {1,0}.

Binary expansion of Thue constant (or Roth's constant).

Inverse of 570th cyclotomic polynomial.

Binary irreducible polynomials (primes in the ring GF(2)[X]), evaluated at X=2.

Inverse of 572nd cyclotomic polynomial.

Orders of magic squares whose rows and columns all have different sum-of-squares values (except for the necessary 180-degree symmetry).

Inverse of 574th cyclotomic polynomial.

Number of Hamiltonian paths in a 5 X n grid starting at the lower left corner and finishing in the upper right corner.

Number of Hamiltonian paths in a 5 X n grid starting in the lower left corner and ending in the lower right.

Nim-Grundy function for Take-a-Square (or Subtract-a-Square) game.

Nim function for Take-a-Factorial-Game (a subtraction game).

Nim function for Take-a-Fibonacci-Game (a subtraction game).

Nim function for Take-a-Prime (or Subtract-a-Prime) Game.

Inverse of 581st cyclotomic polynomial.

a(n) = floor(n^2/12 + 5/4).

Inverse of 583rd cyclotomic polynomial.

Stairs of ideals of gradient type in the theory of singularities.

Inverse of 585th cyclotomic polynomial.

Conjectured dimensions of spaces of weight systems of chord diagrams.

Conjectured numbers of Vassiliev invariants of knots.

Numbers k such that k^2 is a sum of distinct factorials.

Inverse of 589th cyclotomic polynomial.

Class numbers h(D) of imaginary quadratic fields with discriminant D=1-4*n.

Class numbers h(D) of imaginary quadratic orders with discriminant D == 0 or 1 mod 4, D<0.

Numbers congruent to 0 or 3 mod 4.

Discriminants of imaginary quadratic fields with class number 1 (negated).

Discriminants of imaginary quadratic fields with class number 2 (negated).

Inverse of 595th cyclotomic polynomial.

Partial sums of A001935; at one time this was conjectured to agree with A007478.

a(n) = (3n)!/(6^n).

Inverse of 598th cyclotomic polynomial.

a(n) = (4n)!/(24^n).

a(n) = (5n)!/(5!^n).

Tetranacci numbers arising in connection with current algebras sp(2)_n.