

A306949


a(n) is the number of different types of faces of Johnson solid J_n, with solids ordered by indices in Johnson's paper.


0



2, 2, 3, 3, 4, 3, 2, 2, 3, 2, 2, 1, 1, 2, 2, 2, 1, 3, 3, 4, 4, 3, 3, 4, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 1, 2, 2, 2
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OFFSET

1,1


COMMENTS

A299529(x) equals the number of times the value x occurs as a term in this sequence. In particular, if A299529(x) = 0, then x does not occur in this sequence.


REFERENCES

V. A. Zalgaller, Convex Polyhedra with Regular Faces, in: Seminars in mathematics, Springer, 1969, ISBN 9781489956712.


LINKS

Table of n, a(n) for n=1..87.
N. W. Johnson, Convex Polyhedra with Regular Faces, Canadian Journal of Mathematics 18 (1966), 169200.
Wikipedia, List of Johnson solids
V. A. Zalgaller, Convex Polyhedra with Regular Faces, Zapiski Nauchnykh Seminarov LOMI 2 (1967), 5221.


EXAMPLE

For n = 5: Johnson solid J_5 is the pentagonal cupola. This solid is bounded by 5 equilateral triangles, 5 squares, 1 pentagon and 1 decagon. Thus, there are 4 types of polygons making up the faces of this solid, hence a(5) = 4.


CROSSREFS

Cf. A242731, A242732, A242733, A296603, A296604, A299529.
Sequence in context: A006546 A031268 A237817 * A189025 A236347 A045430
Adjacent sequences: A306946 A306947 A306948 * A306950 A306951 A306952


KEYWORD

nonn,fini


AUTHOR

Felix FrÃ¶hlich, Mar 17 2019


STATUS

approved



