

A131636


List of impossible triples {V, F, E} that satisfy Euler's equation V=EF+2 but do not correspond to polyhedra.


0



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
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OFFSET

1,2


COMMENTS

This set of triples seems to be a finite set of "graphs" that are Euler solutions but not polyhedra.


LINKS

Table of n, a(n) for n=1..39.


FORMULA

If V<4 and F<4 and E<7 and V=EF+2: a(n) = {V(m),F(m),E(m)}


MATHEMATICA

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]


CROSSREFS

Cf. A130840.
Sequence in context: A303908 A082660 A134673 * A188023 A077888 A319668
Adjacent sequences: A131633 A131634 A131635 * A131637 A131638 A131639


KEYWORD

nonn


AUTHOR

Roger L. Bagula, Sep 05 2007


EXTENSIONS

Partially edited by N. J. A. Sloane, Sep 14 2007.


STATUS

approved



