Sequences

ASM Number

Returns the number of alternating sign matrices of the given order.

int	`asm_number` (int n)

ASM Triangle Row

Returns a row of the alternating sign matrix triangle.

std::vector<int>

asm_triangle_row (int n)

Catalan Numbers List

Computes the Catalan numbers, of order 0 to n.

std::vector<int>

catalan_numbers_list (int n)

Catalan Triangle Row

Computes the row of the given order in Catalan's triangle.

std::vector<int>

catalan_triangle_row (int n, bool first = true)

Derangements List

Returns the number of derangements of 0 through \e n objects.

std::vector<int>

derangements_list (int n)

Derangements Number

Calculates the number of derangements of \e n objects.

int	`derangements_number` (int n)

Euler Triangle Row

Computes the row of order \e n in the Euler triangle.

std::vector<int>

euler_triangle_row (int n)

Involution Numbers List

Calculates the numbers of involutions of 0 through \e n objects.

std::vector<int>

involution_numbers_list (int n)

Morse Thue Number

Calculates the Morse-Thue number of the given order.

int	`morse_thue_number` (int n)

Padovan Numbers List

Calculates the Padovan numbers of orders 0 through \e n.

std::vector<int>

padovan_numbers_list (int n)

Pentagonal Number

Calculates the pentagonal number of the given order.

int	`pentagonal_number` (int n)[inline]

Perrin Numbers List

Computes the first \e n values of a Perrin sequence.

std::vector<int>

perrin_numbers_list (int n)

Schroeder Numbers List

Computes the first \e n values of the Schroeder sequence.

std::vector<int>

schroeder_numbers_list (int n)

Young Number

Calculates the Young tableau number of the given order.

int	`young_number` (int n)

Bell Numbers List

Returns the Bell numbers of order 0 to n.

std::vector<int>

bell_numbers_list (int n)

Fixed Permutation

Calculates the number of permutations of \e n objects with \e m fixed.

int	`fixed_permutation` (int n, int m)