A343210 Number of nonisomorphic unfoldings of the n-th Johnson solid.

8, 15, 308, 3030, 29757, 7825005, 63, 448, 3116, 3421, 40321, 9, 99, 156, 2010, 25574, 13041, 268260, 28427091, 2982139245, 822310337549, 6193152, 1935360000, 599660087082, 170242287969600, 152, 27195, 1867560, 1934427, 125939163, 132627603, 74520844992

Offset

1,1

Comments

Unfoldings with overlaps are allowed.

Terms are taken from the paper by Horiyama and Shoji.

Links

Pontus von Brömssen, Table of n, a(n) for n = 1..92

Takashi Horiyama and Wataru Shoji, The number of different unfoldings of polyhedra, The 29th European Workshop on Computational Geometry, Technische Universität Braunschweig 2013, 143-146. [Apparently, two pairs of Johnson solids have switched numbers in Table 2, namely J32 <-> J33 and J40 <-> J41.]

Wikipedia, List of Johnson solids

Example

The gyrobifastigium (J26) has a(26) = 152 nonisomorphic unfoldings.

Crossrefs

Cf. A242731, A343209.

Sequence in context: A002406 A212593 A153700 * A190901 A066916 A131446

Adjacent sequences: A343207 A343208 A343209 * A343211 A343212 A343213

Keyword

nonn,fini,full

Author

Pontus von Brömssen, Apr 08 2021

Status

approved