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A299530 Number of regular-faced convex polyhedra (excluding prisms and antiprisms) with exactly n types of faces. 1
10, 45, 38, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The regular-faced convex polyhedra other than prisms and antiprisms are the Platonic, Archimedean, and Johnson solids.

LINKS

Table of n, a(n) for n=1..84.

Wikipedia, List of Johnson solids

FORMULA

a(n) = 0 for n >= 5.

EXAMPLE

Each of the five Platonic solids, and each of five Johnson solids, has one type of face, so a(1) = 5 + 5 = 10.

Each of ten Archimedean solids, and each of thirty-five Johnson solids, has two types of faces, so a(2) = 10 + 35 = 45.

Each of three Archimedean solids, and each of thirty-five Johnson solids, has three types of faces, so a(3) = 3 + 35 = 38.

Each of seventeen Johnson solids has four types of faces, so a(4) = 17.

CROSSREFS

Cf. A299114, A299529.

Sequence in context: A240383 A160970 A202296 * A238982 A292611 A275623

Adjacent sequences:  A299527 A299528 A299529 * A299531 A299532 A299533

KEYWORD

nonn

AUTHOR

Jonathan Sondow, Feb 11 2018

STATUS

approved

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Last modified October 26 06:55 EDT 2021. Contains 348257 sequences. (Running on oeis4.)