Sequences

Positive integers k corresponding to certain genus 2 curves y^2 = x^5 - k.

Positive integers k satisfying y^2 = x^5 - k where x^5 and y^2 are not both divisible by 2^10 and k = 2^(2*m)*d with d a positive squarefree integer d = 7 (mod 8) such that the class number of Q(sqrt(-d)) is not divisible by 5.

Values x corresponding to the k in A034012.

Values y corresponding to the k in A034012.

Small 3-Schroeder numbers: a(n) = A027307(n+1)/2.

Erroneous version of A001403.

Numbers that are primitively represented by x^2 + xy + y^2.

Numbers that are represented by x^2+xy+y^2 but not primitively.

Numbers that are imprimitively (and possibly also primitively) represented by x^2+xy+y^2.

Not of the form x^2 + x*y + y^2.

Numbers that are primitively but not imprimitively represented by x^2+xy+y^2.

Numbers that are primitively or imprimitively represented by x^2+xy+y^2, but not both.

Imprimitively represented by x^2+y^2.

Imprimitively but not primitively represented by x^2+y^2.

Both primitively and imprimitively represented by x^2+y^2.

Numbers that are primitively or imprimitively represented by x^2+y^2, but not both.

Numbers of the form x^2+2y^2 with x >= y >= 0.

Numbers n not of form (x^2+2y^2 with x >= y >= 0).

Numbers that are primitively represented by (x^2+2y^2 with x >= y >= 0).

Imprimitively represented by x^2+2y^2.

Numbers that are primitively but not imprimitively represented by x^2+2y^2.

Imprimitively but not primitively represented by x^2+2y^2.

Both primitively and imprimitively represented by x^2+2y^2.

Numbers that are primitively or imprimitively represented by x^2+2y^2, but not both.

Not of form (x^2+xy+2y^2 with x >= 0, y >= 0).

Numbers of the form (x^2+xy+2y^2 with x>=0, y>=0).

Numbers that are primitively represented by (x^2+xy+2y^2 with x >= 0, y >= 0).

Imprimitively represented by (x^2+xy+2y^2, x>=0, y>=0).

Numbers that are primitively but not imprimitively represented by (x^2+xy+2y^2, x>=0, y>=0).

Imprimitively but not primitively represented by (x^2+xy+2y^2, x>=0, y>=0).

Both primitively and imprimitively represented by (x^2+xy+2y^2, x>=0, y>=0).

Numbers that are primitively or imprimitively represented by (x^2+xy+2y^2, x>=0, y>=0), but not both.

Numbers that are imprimitively represented by x^2+y^2+z^2.

Numbers that are primitively but not imprimitively represented by x^2+y^2+z^2.

Numbers that are imprimitively but not primitively represented by x^2+y^2+z^2.

Numbers that are both primitively and imprimitively represented by x^2+y^2+z^2.

Numbers that are primitively or imprimitively represented by x^2+y^2+z^2, but not both.

Numbers with multiplicative digital root value 0.

Numbers with multiplicative digital root value 2.

Numbers with multiplicative digital root value 3.

Numbers with multiplicative digital root value 4.

Numbers with multiplicative digital root value 5.

Numbers with multiplicative digital root value 6.

Numbers with multiplicative digital root value 7.

Numbers with multiplicative digital root value 8.

Numbers with multiplicative digital root value 9.

Decimal part of a(n)^(1/2) starts with n (squares excluded).

a(n) is the first k such that the fractional part of k^(1/3) starts with n.

Decimal part of a(n)^(1/4) starts with n (4th powers excluded).

a(n) is the least k (not a 5th power) such that the decimal part of k^(1/5) starts with n.