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 1-2 of 2 results.

A238370 Number of rational curves on S of degree d passing through d-1 general points, where S is a general cubic surface in projective 3-space.

Original entry on oeis.org

27, 27, 72, 216, 459, 936
Offset: 1

Views

Author

Steven Finch, Feb 25 2014

Keywords

Comments

Finding a recursive formula (à la Kontsevich for A013587?) remains open.
The famous 27 lines on a cubic surface is the case a(1) = 27. - Michael Somos, Feb 25 2014

Crossrefs

A301894 Number of real lines on a smooth real cubic surface.

Original entry on oeis.org

3, 7, 15, 27
Offset: 1

Views

Author

Jonathan Sondow, Mar 28 2018

Keywords

Comments

Schläfli proved that a smooth real cubic surface contains either 3, 7, 15, or 27 straight lines.

Examples

			The number of lines on a smooth complex cubic surface is a(4) = A027363(2) = A238370(1) = 27.
		

Crossrefs

Formula

a(n) = A097080(n) = 2*n^2 - 2*n + 3 for n = 1, 2, 3, 4.
Showing 1-2 of 2 results.