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 A058786 Number of n-hedra with 2n-5 vertices or 3n-7 edges (the vertices of these are all of degree 3, except one which is of degree 4). Alternatively, the number of polyhedra with n vertices whose faces are all triangular, except one which is tetragonal. 5
 1, 2, 8, 38, 219, 1404, 9714, 70454, 527235, 4037671, 31477887, 249026400, 1994599707, 16147744792, 131959532817, 1087376999834, 9027039627035, 75441790558926, 634311771606750, 5362639252793358, 45565021714371644, 388937603694422120, 3333984869758146814 (list; graph; refs; listen; history; text; internal format)
 OFFSET 5,2 LINKS Andrew Howroyd, Table of n, a(n) for n = 5..500 CombOS - Combinatorial Object Server, generate planar graphs G. P. Michon, Counting Polyhedra EXAMPLE a(5)=1 because the square pyramid is the only pentahedron with 5=2*5-5 vertices (or 8=3*5-7 edges). Alternatively, a(5)=1 because the square pyramid is the only polyhedron with 5 vertices whose faces are all triangles with only one tetragonal exception. PROG (PARI) A342053ColSeq(25, 4) \\ See links in A342053. - Andrew Howroyd, Feb 28 2021 CROSSREFS Column k=4 of A342053. Cf. A000109, A002856, A000944, A002840, A058787, A058788, A049337. Sequence in context: A179323 A001340 A275707 * A096654 A269509 A307725 Adjacent sequences: A058783 A058784 A058785 * A058787 A058788 A058789 KEYWORD nonn,nice AUTHOR Gerard P. Michon, Nov 29 2000 EXTENSIONS Terms a(19) and beyond from Andrew Howroyd, Feb 27 2021 STATUS approved

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Last modified October 3 06:13 EDT 2023. Contains 365842 sequences. (Running on oeis4.)