A093478 Number of regular (finite but not necessarily convex) polytopes of full rank in n-dimensional space, or -1 if the number is infinite.

1, 1, -1, 18, 34, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset

0,4

References

Peter McMullen and Egon Schulte, Abstract Regular Polytopes, Encyclopedia of Mathematics and its Applications, Vol. 92, Cambridge University Press, Cambridge, 2002.

Links

Table of n, a(n) for n=0..112.

Peter McMullen, Regular polytopes of full rank, Discrete Comput. Geom., Vol. 32 (2004), No. 1, pp. 1-35. See p. 34.

Index entries for sequences related to polytopes.

Index entries for linear recurrences with constant coefficients, signature (1).

Formula

a(n) = 6 for n > 4. - Elmo R. Oliveira, Sep 23 2025

Mathematica

PadRight[{1, 1, -1, 18, 34}, 100, 6] (* Paolo Xausa, Jun 16 2026 *)

Crossrefs

Cf. A093479, A060296, A000943, A000944, A053016, A063927.

Sequence in context: A344017 A049731 A188212 * A214465 A296860 A190150

Adjacent sequences: A093475 A093476 A093477 * A093479 A093480 A093481

Keyword

sign,easy,changed

Author

N. J. A. Sloane, May 22 2004

Status

approved