Sequences

Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 8.

Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 9.

Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 10.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 1.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 2.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 3.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 5.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 6.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10.

Least term in period of continued fraction for sqrt(n), as n runs through the nonsquares (A000037).

Least term in period of continued fraction for sqrt(n) is 1.

Least term in period of continued fraction for sqrt(n) is 2.

Least term in period of continued fraction for sqrt(n) is 3.

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 4.

Least term in period of continued fraction for sqrt(n) is 5.

Least term in period of continued fraction for sqrt(n) is 6.

Least term in period of continued fraction for sqrt(n) is 7.

Least term in period of continued fraction for sqrt(n) is 8.

Least term in period of continued fraction for sqrt(n) is 9.

Least term in period of continued fraction for sqrt(n) is 10.

Reversal point for powers of consecutive natural numbers.

Number of proper linear spaces of order n.

Number of nonisomorphic regular linear spaces RLIN(n).

Number of nonisomorphic proper regular linear spaces, PRLIN(n).

a(0) = 1, a(n) is the greatest prime factor of a(n-1)^2+1 for n > 0.

a(0) = 3; for n > 0, a(n) is the greatest prime factor of a(n-1)^2 - 2.

a(0) = 3; for n > 0, a(n) is the greatest prime factor of PreviousPrime(a(n-1))*a(n-1)-1 where PreviousPrime(prime(k))=prime(k-1).

a(0) = 13; for n > 0, a(n) is the greatest prime factor of PreviousPrime(a(n-1))*a(n-1)-1 where PreviousPrime(prime(k))=prime(k-1).

Digitally balanced numbers: positive numbers that in base 2 have the same number of 0's as 1's.

Numbers whose base-2 representation has one more 0 than 1's.

Numbers whose base-2 representation has 2 more 0's than 1's.

Numbers whose base-2 representation has 3 more 0's than 1's.

Numbers whose base-2 representation has 4 more 0's than 1's.

Numbers whose base-2 representation has one fewer 0's than 1's.

Numbers whose base-2 representation has two fewer 0's than 1's.

Numbers whose base-2 representation has 3 fewer 0's than 1's.

Numbers whose base-2 representation has 4 fewer 0's than 1's.

Numbers whose base-3 representation has the same number of 0's as 2's.

Numbers whose base-3 representation has one more 0 than 2's.

Numbers whose base-3 representation has 2 more 0's than 2's.

Numbers whose base-3 representation has 3 more 0's than 2's.

Numbers whose base-3 representation has 4 more 0's than 2's.

Numbers whose base-3 representation has one fewer 0 than 2's.

Numbers whose base-3 representation has 2 fewer 0's than 2's.

Numbers whose base-3 representation has 3 fewer 0's than 2's.

Numbers whose base-3 representation has 4 fewer 0's than 2's.