Sequences

Record values in A030757.

Positions of records in A030757.

s(n)=1, where s=A030757.

Numbers k such that A030757(k) = 2.

Numbers k such that A030757(k) = 3.

Numbers k such that A030757(k) = 4.

The first list after the following procedure: starting with a list [2] and an empty list, repeatedly add the distinct values already in both lists in descending order to the second list and add the corresponding frequencies of those values to the first list.

The second list after the following procedure: starting with a list [2] and an empty list, repeatedly add the distinct values already in both lists in descending order to the second list and add the corresponding frequencies of those values to the first list.

Duplicate of A030739.

a(n) = least k such that s(k) = n, where s = A030767.

Record values in A030767.

Positions of record values in A030767.

s(k)=1, where s=A030767.

Numbers k such that A030767(k) = 2.

Numbers k such that A030767(k) = 3.

Numbers k such that A030767(k) = 4.

The first list after the following procedure: starting with a list [3] and an empty list, repeatedly add the distinct values in both lists in descending order to the second list and add the corresponding frequencies of those values to the first list.

The second list after the following procedure: starting with a list [3] and an empty list, repeatedly add the distinct values in both lists in descending order to the second list and add the corresponding frequencies of those values to the first list.

Duplicate of A030729.

a(n) is the least k such that A030777(k) = n.

Record values in A030777.

Positions of record values in A030777.

s(k)=1, where s=A030777.

s(n)=2, where s=A030777.

Numbers k such that A030777(k) = 3.

Numbers k such that A030777(k) = 4.

The first list after the following procedure: starting with a list [4] and an empty list, repeatedly add the distinct values already in both lists in descending order to the second list and add the corresponding frequencies of those values to the first list.

The second list after the following procedure: starting with a list [4] and an empty list, repeatedly add the distinct values already in both lists in descending order to the second list and add the corresponding frequencies of those values to the first list.

Duplicate of A030749.

a(n)=least k such that s(k)=n, where s=A030787.

Record values in A030787.

Positions of record values in A030787.

s(k)=1, where s=A030787.

s(n) = 2, where s = A030787.

Numbers k such that A030787(k) = 3.

Numbers k such that A030787(k)=4.

Decimal expansion of the constant x such that x^x = e. Inverse of W(1), where W is Lambert's function.

Decimal expansion of the solution to x^x = 2.

a(n) = floor(exp(1/2)*n!).

a(n) = floor(exp(19/24)*n!).

a(n) = floor(exp(17/24)*n!).

a(n) = floor( exp(13/24)*n! ).

a(n) = floor(exp(11/24)*n!).

a(n) = floor(exp(7/24)*n!).

a(n) = floor(exp(5/24)*n!).

a(n) = floor(exp(1/24)*n!).

a(n) = floor(exp(22/23) * n!).

a(n) = floor(exp(21/23) * n!).

a(n) = floor(exp(20/23) * n!).

Floor(exp(19/23) * n!).