A343955 a(n) is the number of square faces of Johnson solid J_n.

1, 0, 3, 5, 5, 0, 3, 5, 5, 1, 0, 0, 0, 3, 4, 5, 0, 9, 13, 15, 10, 3, 5, 5, 0, 4, 6, 10, 10, 10, 10, 5, 5, 0, 12, 12, 18, 20, 20, 15, 15, 10, 10, 6, 10, 10, 5, 0, 2, 1, 0, 4, 3, 5, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 3, 5, 10, 5, 10, 10, 15, 30, 30, 30, 30, 25, 25, 25, 25, 20, 20, 20, 15, 0, 2, 2, 1, 2, 3, 4, 2, 3

Offset

1,3

Links

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

Eric Weisstein's World of Mathematics, Johnson Solid.

Wikipedia, List of Johnson solids.

Formula

a(n) < A242731(n).

Mathematica

Array[Count[Map[Length, PolyhedronData["J" <> ToString[#], "FaceIndices"]], 4] &, 92] (* Paolo Xausa, Apr 16 2026 *)

Crossrefs

Cf. A242731, A343954, A343956, A343957, A343958, A343959.

Essentially column k = 4 of A394912.

Sequence in context: A242288 A021742 A284867 * A152416 A388766 A200334

Adjacent sequences: A343952 A343953 A343954 * A343956 A343957 A343958

Keyword

nonn,fini,full

Author

Felix Fröhlich, May 05 2021

Extensions

a(78)-a(92) from Pontus von Brömssen, May 27 2025

Status

approved