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Search: id:A131636
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| A131636 |
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List of impossible triples {V, F, E} that satisfy Euler's equation V=E-F+2 but do not correspond to polyhedra. |
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1
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| 0, 2, 0, 0, 3, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 3, 3, 3, 0, 1, 3, 1, 2, 3, 2, 3, 3, 3, 4
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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This set of triples seems to be a finite set of "graphs" that are Euler solutions but not polyhedra.
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FORMULA
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If V<4 and F<4 and E<7 and V=E-F+2: a(n) = {V(m),F(m),E(m)}
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MATHEMATICA
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a = Delete[Union[Flatten[Table[If[v + f - 2 - e0 == 0, {v, f, e0}, {}], {v, 0, 3}, {f, 0, 3}, {e0, 0, 6}], 2]], 1]; Flatten[a]
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CROSSREFS
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Cf. A130840.
Sequence in context: A029301 A082660 A134673 this_sequence A077888 A113411 A125095
Adjacent sequences: A131633 A131634 A131635 this_sequence A131637 A131638 A131639
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KEYWORD
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nonn
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 05 2007
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EXTENSIONS
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Partially edited by njas, Sep 14 2007.
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