

A299530


Number of regularfaced 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
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OFFSET

1,1


COMMENTS

The regularfaced 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 thirtyfive Johnson solids, has two types of faces, so a(2) = 10 + 35 = 45.
Each of three Archimedean solids, and each of thirtyfive 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



