cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A171808 Number of 5 X 5 permutation matrices such that the n-th matrix power is the identity matrix and the determinant is +1.

Original entry on oeis.org

1, 15, 20, 0, 24
Offset: 1

Views

Author

Artur Jasinski, Dec 18 2009

Keywords

Comments

Sum of this sequence is equal to the number of permutation matrices with determinant +1 = 5!/2 = 60. For number matrices with determinant = -1 see A171809.

Examples

			a(1)=1 because there is only one matrix whose first power is the identity matrix (this is the identity matrix itself).

Crossrefs

Cf. A171806, A171809.

A171809 Number of 5 X 5 permutation matrices such that the n-th matrix power is the identity matrix and the determinant is -1.

Original entry on oeis.org

0, 10, 0, 30, 0, 20
Offset: 1

Views

Author

Artur Jasinski, Dec 18 2009, corrected Dec 28 2009

Keywords

Crossrefs

Cf. A171806, A171808

A171906 a(n) = number of 5 X 5 permutation matrices with trace n.

Original entry on oeis.org

44, 45, 20, 10, 0, 1
Offset: 0

Views

Author

Artur Jasinski, Dec 31 2009

Keywords

Examples

			a(0)=44 because we have 44 different permutation matrices 5 x 5 with trace 0.

Crossrefs

A171806, A171808, A171809, A171907, A171908

A171907 a(n)= Number of 5 X 5 permutation matrices with trace n and determinant +1.

Original entry on oeis.org

24, 15, 20, 0, 0, 1
Offset: 0

Views

Author

Artur Jasinski, Dec 31 2009

Keywords

Examples

			a(0)=24 because we have 24 different permutation matrices 5 x 5 with trace 0 and determinant +1.

Crossrefs

A171806, A171808, A171809, A171906, A171908

A171908 a(n)= Number of 5 X 5 permutation matrices with trace n and determinant -1.

Original entry on oeis.org

20, 30, 0, 10, 0, 0
Offset: 0

Views

Author

Artur Jasinski, Dec 31 2009

Keywords

Examples

			a(0)=20 because we have 20 different permutation matrices 5 x 5 with trace 0 and determinant -1.

Crossrefs

A171806, A171808, A171809, A171906, A171907
Showing 1-5 of 5 results.

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