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 1-4 of 4 results.

A185033 Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 3.

Original entry on oeis.org

0, 0, 0, 0, 1, 2, 8, 29, 138, 774, 5678, 53324, 622716, 8604351, 135344959, 2363662004, 45134533117, 933058713014, 20735549517852, 492653820710746
Offset: 0

Views

Author

Jason Kimberley, Feb 29 2012

Keywords

Crossrefs

Disconnected k-regular simple graphs with girth exactly 3: A210713 (any k), A210703 (triangle); for fixed k: this sequence (k=3), A185043 (k=4), A185053 (k=5), A185063 (k=6).
Disconnected 3-regular simple graphs with girth exactly g: this sequence (g=3), A185034 (g=4), A185035 (g=5), A185036 (g=6), A185037 (g=7).

Formula

a(n) = A165653(n) - A185234(n).

A185034 Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 4.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 1, 2, 9, 35, 176, 1151, 10329, 120456, 1701834, 27500216, 492269472, 9599036308, 201954501535, 4555108534562
Offset: 0

Views

Author

Jason Kimberley, Feb 29 2012

Keywords

Crossrefs

Disconnected k-regular simple graphs with girth exactly 4: this sequence (k=3), A185044 (k=4).
Disconnected 3-regular simple graphs with girth exactly g: A185033 (g=3), this sequence (g=4), A185035 (g=5), A185036 (g=6), A185037 (g=7).

Formula

a(n) = A185234(n) - A185235(n).

A185035 Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 5.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 12, 67, 597, 7134, 107820, 1876672, 35924730, 741405102, 16356067055, 383931363314
Offset: 0

Views

Author

Jason Kimberley, Feb 29 2012

Keywords

Crossrefs

Disconnected 3-regular simple graphs with girth exactly g: A185033 (g=3), A185034 (g=4), this sequence (g=5), A185036 (g=6), A185037 (g=7).

Formula

a(n) = A185235(n) - A185236(n).

A185036 Number of disconnected 3-regular simple graphs on 2n vertices with girth exactly 6.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 6, 37, 432, 8119, 191254, 4855919, 127937854, 3482858263, 98176518258
Offset: 0

Views

Author

Jason Kimberley, Feb 29 2012

Keywords

Crossrefs

Disconnected 3-regular simple graphs with girth exactly g: A185033 (g=3), A185034 (g=4), A185035 (g=5), this sequence (g=6), A185037 (g=7).

Formula

a(n) = A185236(n) - A185237(n).
Showing 1-4 of 4 results.