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.

A128006 Numerators of rational-valued radii of circles given by 3 distinct integer points in the euclidean plane.

Original entry on oeis.org

1, 5, 5, 2, 17, 13, 5, 13, 29, 3, 37, 25, 13, 10, 17, 25, 15, 53, 65, 4, 65, 41, 29, 25, 17, 13, 41, 73, 65, 85, 5, 101, 61, 41, 26, 37, 85, 97, 65, 109, 61, 89, 325, 17, 125, 29, 53, 65, 6, 145, 85, 61, 37, 137, 25, 51, 13, 85, 205, 73, 173, 533, 20, 34, 89, 7, 197, 169, 113, 85
Offset: 1

Views

Author

Heinrich Ludwig, Feb 11 2007

Keywords

Comments

A triangle in the Euclidean plane defines a circumcircle. There exist only certain rational-valued circumradii if the vertices of the triangle have integer coordinates. They are rendered by the pair of sequences A128006/A128007 in increasing order.

Links

Crossrefs

See A128007 for denominators.
Cf. A128008, A128009, A128010, A128011, A192493, A192494.

A128007 Denominators of rational-valued radii of circles given by 3 distinct integer points in the Euclidean plane.

Original entry on oeis.org

1, 4, 3, 1, 8, 6, 2, 5, 10, 1, 12, 8, 4, 3, 5, 7, 4, 14, 17, 1, 16, 10, 7, 6, 4, 3, 9, 16, 14, 18, 1, 20, 12, 8, 5, 7, 16, 18, 12, 20, 11, 16, 58, 3, 22, 5, 9, 11, 1, 24, 14, 10, 6, 22, 4, 8, 2, 13, 31, 11, 26, 80, 3, 5, 13, 1, 28, 24, 16, 12, 26, 22, 7, 9, 4
Offset: 1

Views

Author

Heinrich Ludwig, Feb 11 2007

Keywords

Comments

A triangle in the Euclidean plane defines a circumcircle. There exist only certain rational-valued circumradii if the vertices of the triangle have integer coordinates. The circumradii are rendered by the pair of sequences A128006/A128007 in increasing order.

Crossrefs

See A128006 for numerators.
Cf. A128008, A128009, A128010, A128011, A192493, A192494.

A128008 Numerators of rational-valued radii of circles given by 3 distinct integer points in the 3-dimensional Euclidean space.

Original entry on oeis.org

1, 5, 3, 5, 11, 2, 17, 13, 9, 7, 33, 5, 13, 21, 27, 17, 29, 3, 37, 25, 19, 13, 33, 10, 17, 41, 7, 25, 29, 51, 11, 15, 53, 19, 99, 65, 23, 27, 4, 65, 57, 49, 41, 33, 29, 25, 21, 59, 17, 43, 69, 13, 53, 31, 9, 41, 73, 83, 37, 65, 14, 33, 85, 105, 43, 67, 77, 29, 63, 69, 89, 5
Offset: 1

Views

Author

Heinrich Ludwig, Feb 14 2007

Keywords

Comments

A triangle in the 3-dimensional Euclidean space defines a circumcircle. There exist only certain rational-valued circumradii if the vertices of the triangle have integer coordinates. They are rendered by the pair of sequences A128008/A128009 in increasing order.

Crossrefs

See A128009 for denominators. Cf. A128006, A128007, A128010, A128011.

A128009 Denominators of rational-valued radii of circles given by 3 distinct integer points in the 3-dimensional Euclidean space.

Original entry on oeis.org

1, 4, 2, 3, 6, 1, 8, 6, 4, 3, 14, 2, 5, 8, 10, 6, 10, 1, 12, 8, 6, 4, 10, 3, 5, 12, 2, 7, 8, 14, 3, 4, 14, 5, 26, 17, 6, 7, 1, 16, 14, 12, 10, 8, 7, 6, 5, 14, 4, 10, 16, 3, 12, 7, 2, 9, 16, 18, 8, 14, 3, 7, 18, 22, 9, 14, 16, 6, 13, 14, 18, 1
Offset: 1

Views

Author

Heinrich Ludwig, Feb 14 2007

Keywords

Comments

See A128008.

Crossrefs

See A128008 for numerators. Cf. A128006, A128007, A128010, A128011.

A128011 Denominators of rational-valued radii of circles given by 3 distinct integer points in the 4-dimensional Euclidean space.

Original entry on oeis.org

1, 4, 2, 3, 4, 6, 1, 8, 6, 4, 3, 14, 8, 2, 5, 8, 10, 4, 5, 6, 10, 1, 12, 10, 8, 6, 4, 10, 3, 8, 5, 12, 2, 7, 5, 8, 14, 3, 10, 7, 4, 14, 5, 26, 17, 6, 7, 10, 12, 14, 23, 1, 16, 14, 12, 10, 8, 7, 6, 16, 5, 14, 4, 7, 10, 16, 3, 14, 8, 5, 12, 7, 2
Offset: 1

Views

Author

Heinrich Ludwig, Feb 18 2007

Keywords

Crossrefs

See A128010 for numerators and further information. Cf. A128006, A128007, A128008, A128009.
Showing 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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