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.

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A300693 a(n) = number of edges in a concertina n-cube.

Original entry on oeis.org

0, 1, 6, 42, 344, 3230, 34452
Offset: 0

Views

Author

Tilman Piesk, Apr 03 2018

Keywords

Comments

n-place formulas in first-order logic like Ax Ey P(x, y) can be ordered by implication. This Hasse diagram has A000629(n) vertices and a(n) edges.
This is the second diagonal on the right in A300700, the triangle of faces in the concertina n-cube.
The corresponding sequence for cocoon concertina n-cubes, which have more internal vertices and edges, is A300694.

Links

Crossrefs

Cf. A300700, A000629, A300694.

Formula

a(n) = A300700(n, n-1).

A300701 a(n) = number of faces in a concertina n-cube.

Original entry on oeis.org

1, 3, 13, 87, 805, 9303, 128533
Offset: 0

Views

Author

Tilman Piesk, Mar 11 2018

Keywords

Examples

			A concertina 3-cube has 26 0-faces (vertices), 42 1-faces (edges), 18 2-faces and 1 3-face (the polyhedron itself). Together this makes a(3) = 87 faces.

Links

Crossrefs

Row sums of A300700.
Showing 1-2 of 2 results.

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