A324078 -id:A324078 - cp's OEIS frontend

A324080 a(n) is the rarest values appearing recorded in n-th pair in A324078.

1, 1, 3, 3, 2, 2, 3, 2, 4, 4, 4, 4, 2, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 6, 5, 7, 7, 7, 7, 7, 7, 7, 3, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 4, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 5

Offset: 1

Joerg Arndt, Feb 15 2019

nonn

Dropping all but the first occurrence of the terms appears to give A080782.

Joerg Arndt, Table of n, a(n) for n = 1..5000

See A324081 for the multiplicities.

a(n) = A324078(2*n-1).

a(n) = A324079(2*n).

A324081 a(n) is the multiplicity of the rarest values appearing recorded in n-th pair in A324078.

Original entry on oeis.org

1, 3, 1, 2, 1, 2, 3, 4, 1, 2, 3, 4, 6, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 9, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 1, 2, 3, 4, 5

Offset: 1

Joerg Arndt, Feb 15 2019

nonn

Dropping all but the first occurrence of the terms appears to give A080782.

Joerg Arndt, Table of n, a(n) for n = 1..5000

See A324080 for the corresponding rarest values.

a(n) = A324078(2*n).

a(n) = A324079(2*n-1).

A324079 a(0) = 1, followed by pairs (multiplicity of rarest term, value of that term). Choose the least value of rarest term if there is a tie.

Original entry on oeis.org

1, 1, 1, 3, 1, 1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 4, 2, 1, 4, 2, 4, 3, 4, 4, 4, 6, 2, 1, 6, 2, 6, 3, 6, 4, 6, 5, 6, 1, 5, 2, 5, 3, 5, 4, 5, 5, 5, 6, 6, 7, 5, 1, 7, 2, 7, 3, 7, 4, 7, 5, 7, 6, 7, 7, 7, 9, 3, 1, 9, 2, 9, 3, 9, 4, 9, 5, 9, 6, 9, 7, 9, 8, 9, 1, 8, 2, 8, 3, 8, 4, 8, 5, 8, 6, 8, 7, 8, 8, 8, 9, 9, 10, 8, 1, 10

Offset: 0

Joerg Arndt, Feb 15 2019

nonn

Same as A324078 with pairs after a(0) swapped.

			1, 1 time term 1, 3 times term 1, 1 time term 3, 2 times term 3, 1 time term 2, 2 times terms 2, ...

Michael De Vlieger, Table of n, a(n) for n = 0..10000

Cf. A324078.

Nest[Append[#, Reverse@ First@ SortBy[Union@ Tally[Flatten@ #], Last]] &, {{1}}, 52] // Flatten (* Michael De Vlieger, Feb 25 2019 *)

cp's OEIS Frontend

A324080 a(n) is the rarest values appearing recorded in n-th pair in A324078.

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A324081 a(n) is the multiplicity of the rarest values appearing recorded in n-th pair in A324078.

Views

Author

Keywords

Comments

Links

Crossrefs

Formula

A324079 a(0) = 1, followed by pairs (multiplicity of rarest term, value of that term). Choose the least value of rarest term if there is a tie.

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Author

Keywords

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Examples

Links

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Mathematica