chunky v0.13.0 Chunky.Sequence.OEIS.Combinatorics View Source

Sequences from the Online Encyclopedia of Integer Sequences dealing with combinatorics, set manipulations, and permutations.

Available Sequences

Catalan Numbers

Via Catalan Number - Wikipedia:

In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects. They are named after the Belgian mathematician Eugène Charles Catalan

Link to this section Summary

Functions

OEIS Sequence A159981 - Catalan numbers read modulo 4 .

OEIS Sequence A159984 - Catalan numbers read modulo 5 .

OEIS Sequence A159986 - Catalan numbers read modulo 7 .

OEIS Sequence A159987 - Catalan numbers read modulo 8.

OEIS Sequence A159988 - Catalan numbers read modulo 11 .

OEIS Sequence A159989 - Catalan numbers read modulo 12.

OEIS Sequence A289682 - Catalan numbers read modulo 16.

Link to this section Functions

Link to this function

create_sequence_a159981(opts)

View Source

OEIS Sequence A159981 - Catalan numbers read modulo 4 .

From OEIS A159981:

Catalan numbers read modulo 4 .

Sequence IDs: :a159981

Finite: False

Offset: 0

Example

iex> Sequence.create(Elixir.Chunky.Sequence.OEIS.Combinatorics, :a159981) |> Sequence.take!(105)
[1,1,2,1,2,2,0,1,2,2,0,2,0,0,0,1,2,2,0,2,0,0,0,2,0,0,0,0,0,0,0,1,2,2,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0]
Link to this function

create_sequence_a159984(opts)

View Source

OEIS Sequence A159984 - Catalan numbers read modulo 5 .

From OEIS A159984:

Catalan numbers read modulo 5 .

Sequence IDs: :a159984

Finite: False

Offset: 0

Example

iex> Sequence.create(Elixir.Chunky.Sequence.OEIS.Combinatorics, :a159984) |> Sequence.take!(105)
[1,1,2,0,4,2,2,4,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,4,2,2,4,0,3,4,4,3,0,4,2,2,4,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,4,2,2,4,0,2,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
Link to this function

create_sequence_a159986(opts)

View Source

OEIS Sequence A159986 - Catalan numbers read modulo 7 .

From OEIS A159986:

Catalan numbers read modulo 7 .

Sequence IDs: :a159986

Finite: False

Offset: 0

Example

iex> Sequence.create(Elixir.Chunky.Sequence.OEIS.Combinatorics, :a159986) |> Sequence.take!(106)
[1,1,2,5,0,0,6,2,2,4,3,0,0,4,6,6,5,2,0,0,4,6,6,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,2,2,4,3,0,0,5,4,4,1,6,0,0,1,5,5,3,4,0,0,1,5,5,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,6,6,5,2,0,0,1,5]
Link to this function

create_sequence_a159987(opts)

View Source

OEIS Sequence A159987 - Catalan numbers read modulo 8.

From OEIS A159987:

Catalan numbers read modulo 8.

Sequence IDs: :a159987

Finite: False

Offset: 0

Example

iex> Sequence.create(Elixir.Chunky.Sequence.OEIS.Combinatorics, :a159987) |> Sequence.take!(105)
[1,1,2,5,6,2,4,5,6,6,4,2,4,4,0,5,6,6,4,6,4,4,0,2,4,4,0,4,0,0,0,5,6,6,4,6,4,4,0,6,4,4,0,4,0,0,0,2,4,4,0,4,0,0,0,4,0,0,0,0,0,0,0,5,6,6,4,6,4,4,0,6,4,4,0,4,0,0,0,6,4,4,0,4,0,0,0,4,0,0,0,0,0,0,0,2,4,4,0,4,0,0,0,4,0]
Link to this function

create_sequence_a159988(opts)

View Source

OEIS Sequence A159988 - Catalan numbers read modulo 11 .

From OEIS A159988:

Catalan numbers read modulo 11 .

Sequence IDs: :a159988

Finite: False

Offset: 0

Example

iex> Sequence.create(Elixir.Chunky.Sequence.OEIS.Combinatorics, :a159988) |> Sequence.take!(85)
[1,1,2,5,3,9,0,0,0,0,10,2,2,4,10,6,7,0,0,0,0,8,6,6,1,8,7,10,0,0,0,0,1,9,9,7,1,5,4,0,0,0,0,9,4,4,8,9,1,3,0,0,0,0,6,10,10,9,6,8,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
Link to this function

create_sequence_a159989(opts)

View Source

OEIS Sequence A159989 - Catalan numbers read modulo 12.

From OEIS A159989:

Catalan numbers read modulo 12.

Sequence IDs: :a159989

Finite: False

Offset: 0

Example

iex> Sequence.create(Elixir.Chunky.Sequence.OEIS.Combinatorics, :a159989) |> Sequence.take!(119)
[1,1,2,5,2,6,0,9,2,2,8,10,4,4,0,9,6,6,0,6,0,0,0,6,0,0,8,8,8,4,4,1,6,6,0,10,4,4,8,2,8,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,6,0,6,0,0,0,6,0,0,0,0,0,0,0,6,8,8,8,4,4,4,0,0,0,4,4,4,8,8,8,6,0,0,0,0,0,0,0,0,0,0,0,4,4,4,8,8,8,0,0,0,8,8,8]
Link to this function

create_sequence_a289682(opts)

View Source

OEIS Sequence A289682 - Catalan numbers read modulo 16.

From OEIS A289682:

Catalan numbers read modulo 16.

Sequence IDs: :a289682

Finite: False

Offset: 0

Example

iex> Sequence.create(Elixir.Chunky.Sequence.OEIS.Combinatorics, :a289682) |> Sequence.take!(88)
[1,1,2,5,14,10,4,13,6,14,12,2,12,4,8,13,6,6,12,6,4,12,8,2,12,12,8,4,8,8,0,13,6,6,12,14,4,12,8,6,4,4,8,12,8,8,0,2,12,12,8,12,8,8,0,4,8,8,0,8,0,0,0,13,6,6,12,14,4,12,8,14,4,4,8,12,8,8,0,6,4,4,8,4,8,8,0,12]