Sequences

Positive numbers having the same set of digits in base 2 and base 6.

Positive numbers having the same set of digits in base 2 and base 7.

Positive numbers having the same set of digits in base 2 and base 8.

Positive numbers having the same set of digits in base 2 and base 9.

Positive numbers having the same set of digits in base 2 and base 10.

Positive numbers having the same set of digits in base 3 and base 4.

Positive numbers having the same set of digits in base 3 and base 5.

Positive numbers having the same set of digits in base 3 and base 6.

Positive numbers having the same set of digits in base 3 and base 7.

Positive numbers having the same set of digits in base 3 and base 8.

Positive numbers having the same set of digits in base 3 and base 9.

Positive numbers having the same set of digits in base 3 and base 10.

Positive numbers having the same set of digits in base 4 and base 5.

Positive numbers having the same set of digits in base 4 and base 6.

Positive numbers having the same set of digits in base 4 and base 7.

Positive numbers having the same set of digits in base 4 and base 8.

Positive numbers having the same set of digits in base 4 and base 9.

Positive numbers having the same set of digits in base 4 and base 10.

Positive numbers having the same set of digits in base 5 and base 6.

Positive numbers having the same set of digits in base 5 and base 7.

Positive numbers having the same set of digits in base 5 and base 8.

Positive numbers having the same set of digits in base 5 and base 9.

Positive numbers having the same set of digits in base 5 and base 10.

Duplicate of A033170.

Positive numbers having the same set of digits in base 6 and base 8.

Positive numbers having the same set of digits in base 6 and base 9.

Positive numbers having the same set of digits in base 6 and base 10.

Positive numbers having the same set of digits in base 7 and base 8.

Positive numbers having the same set of digits in base 7 and base 9.

Positive numbers having the same set of digits in base 7 and base 10.

Positive numbers having the same set of digits in base 8 and base 9.

Positive numbers having the same set of digits in base 8 and base 10.

Positive numbers having the same set of digits in base 9 and base 10.

Number of partitions of n^2 into squares.

Number of infinitary divisors (or i-divisors) of n.

Floor of (n/e)^(n/e).

Number of conjugacy classes of subgroups of the Chevalley group A_n(2) (the group of nonsingular n X n matrices over GF(2)).

a(n) = floor(cot(n)).

Discriminant of quadratic field Q(sqrt(n)).

Numbers which are one less than a perfect square that cannot otherwise be written as a power.

a(n) = Fibonacci(n) * Fibonacci(2*n).

Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).

Positive numbers whose base-5 representation contains no 3 or 4.

a(n) = Sum_{i=0..m} d(i)*6^i, where Sum_{i=0..m} d(i)*3^i is the base 3 representation of n.

a(n)=Sum{d(i)*7^i: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is the base 3 representation of n.

a(n)=Sum{d(i)*8^i: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is the base 3 representation of n.

Duplicate of A037314.

a(1)=1; for n > 1, a(n) = n - a(n-floor(sqrt(n))).

Sum{d(i)*5^i: i=0,1,...,m}, where Sum{d(i)*4^i: i=0,1,...,m} is the base 4 representation of n.

a(n) = Sum{d(i)*6^i: i=0,1,...,m}, where Sum{d(i)*4^i: i=0,1,...,m} is the base 4 representation of n.