Sequences

Record values in A030707.

Positions of records in A030707.

Numbers k such that A030707(k) = 1.

Numbers k such that A030707(k) = 2.

Numbers k such that A030707(k) = 3.

Numbers k such that A030707(k) = 4.

The first list after the following procedure: starting with a list [1] and an empty list, repeatedly add the distinct values already in the first list in ascending 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 [1] and an empty list, repeatedly add the distinct values already in the first list in ascending order to the second list and add the corresponding frequencies of those values to the first list.

Number of new terms at stage n in the formation of A030717.

a(n)=least k such that s(k)=n, where s=A030717.

Record values in A030717.

Positions of records in A030717.

Numbers k such that A030717(k) = 1.

Numbers k such that A030717(k) = 2.

Numbers k such that A030717(k) = 3.

Numbers k such that A030717(k) = 4.

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

Number of new terms at stage n in the formation of A030727; likewise at stage n in the formation of A030777.

Least k such that s(k)=n, where s=A030727.

Record values in A030727.

Positions of record values in A030727.

s(k)=1, where s=A030727.

Numbers k such that A030727(k) = 2.

s(n)=3, where s=A030727.

Numbers k such that A030727(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 ascending 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 ascending order to the second list and add the corresponding frequencies of those values to the first list.

Number of new terms at stage n in formation of A030737; likewise at stage n in the formation of A030767.

a(n)=least k such that s(k)=n, where s=A030737.

Record values in A030737.

Positions of record values in A030737.

s(k)=1, where s=A030737.

Numbers k such that A030737(k) = 2.

Numbers k such that A030737(k) = 3.

Numbers k such that A030737(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 ascending 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 ascending order to the second list and add the corresponding frequencies of those values to the first list.

Number of new terms at stage n in the formation of A030747; likewise at stage n in the formation of A030787.

a(n)=least k such that s(k)=n, where s=A030747.

Record values in A030747.

Positions of record values in A030747.

s(k)=1, where s=A030747.

Numbers k such that A030747(k) = 2.

Numbers k such that A030747(k) = 3.

Numbers k such that A030747(k)=4.

The first list after the following procedure: starting with a list [1] 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 [1] 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 A030709.

a(n)=least k such that s(k)=n, where s=A030757.