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- ASM Number
- ASM Triangle Row
- Bell Numbers List
- Catalan Numbers List
- Catalan Triangle Row
- Derangements List
- Derangements Number
- Euler Triangle Row
- Fixed Permutation
- Involution Numbers List
- Morse Thue Number
- Padovan Numbers List
- Pascal Triangle Row
- Pentagonal Number
- Perrin Numbers List
- Schroeder Numbers List
- Young Number
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Maths › Combinatorics ›
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) |