A394914 a(n) is the number of faces with the highest number of sides in Johnson solid J_n.

1, 1, 1, 1, 1, 1, 3, 5, 1, 1, 1, 6, 10, 3, 4, 5, 16, 1, 1, 1, 1, 1, 1, 1, 1, 4, 6, 10, 10, 2, 2, 7, 7, 12, 12, 12, 18, 2, 2, 7, 7, 12, 12, 6, 10, 2, 7, 12, 2, 1, 14, 2, 2, 2, 2, 2, 2, 11, 10, 10, 9, 2, 3, 3, 3, 5, 4, 11, 10, 10, 9, 12, 12, 12, 12, 1, 1, 1, 1, 2, 2, 2, 3, 12, 2, 2, 1, 2, 3, 4, 4, 1

Offset

1,7

Links

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

Wikipedia, List of Johnson solids.

Formula

a(n) = A394912(n, A394913(n)).

Example

a(32) = 7 because Johnson solid J_32 (pentagonal orthocupolarotunda) has 15 triangular faces, 5 square faces and 7 pentagonal faces.

Mathematica

A394914[n_] := Count[#, Max[#]] & [Map[Length, PolyhedronData["J" <> ToString[n], "FaceIndices"]]];
Array[A394914, 92] (* Gives the full sequence *)

Crossrefs

Right border of A394912.

Cf. A306949, A394913.

Sequence in context: A154512 A030588 A307860 * A123701 A143303 A074903

Adjacent sequences: A394911 A394912 A394913 * A394915 A394916 A394917

Keyword

nonn,fini,full

Author

Paolo Xausa, Apr 08 2026

Status

approved