The On-Line Encyclopedia of Integer Sequences (OEIS)

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A058789

Number of polyhedra with n faces and n+1 vertices (or n vertices and n+1 faces).
(history; published version)

#10 by Michel Marcus at Thu Feb 26 02:08:57 EST 2015

STATUS

reviewed

approved

#9 by Joerg Arndt at Thu Feb 26 01:26:52 EST 2015

STATUS

proposed

reviewed

#8 by Jon E. Schoenfield at Thu Feb 26 00:39:40 EST 2015

STATUS

editing

proposed

#7 by Jon E. Schoenfield at Thu Feb 26 00:39:38 EST 2015

COMMENTS

Through a(18) the only primes are 2, 11, and 64439. [- _Jonathan Vos Post, _, Apr 23, 2011]

STATUS

approved

editing

#6 by Russ Cox at Fri Mar 30 17:28:36 EDT 2012

AUTHOR

_Gerard P. Michon (g.michon(AT)att.net), _, Nov 30 2000

Discussion

Fri Mar 30

17:28

OEIS Server: https://oeis.org/edit/global/149

#5 by T. D. Noe at Mon Apr 25 01:12:56 EDT 2011

STATUS

reviewed

approved

#4 by Joerg Arndt at Sun Apr 24 12:11:04 EDT 2011

STATUS

proposed

reviewed

#3 by Joerg Arndt at Sun Apr 24 12:10:48 EDT 2011

COMMENTS

Through a(818) the only primes are 2, 11, and 64439. [Jonathan Vos Post, Apr 23, 2011]

#2 by Jonathan Vos Post at Sat Apr 23 23:34:16 EDT 2011

COMMENTS

Through a(8) the only primes are 2, 11, and 64439. [Jonathan Vos Post, Apr 23, 2011]

STATUS

approved

proposed

Discussion

Sun Apr 24

10:58

Joerg Arndt: Note that a(8)=74

11:15

Jonathan Vos Post: Right.  I meant  "Through a(18) the only primes are 2, 11, and 64439."

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Number of polyhedra with n faces and n+1 vertices (or n vertices and n+1 faces).

DATA

0, 1, 2, 11, 74, 633, 6134, 64439, 709302, 8085725, 94713809, 1134914458, 13865916560, 172301697581, 2173270387051

OFFSET

4,3

LINKS

G. P. Michon, <a href="http://www.numericana.com/data/polyhedra.htm">Counting Polyhedra</a>

EXAMPLE

a(5)=1 because the triangular prism is the only pentahedron with 6 vertices.

CROSSREFS

Cf. A002856, A000109, A058786, A058787, A058788.

KEYWORD

hard,nice,nonn

AUTHOR

Gerard P. Michon (g.michon(AT)att.net), Nov 30 2000

STATUS

approved