A301748 Number of faces in the n-polygon diagonal intersection graph.

5, 12, 25, 51, 81, 155, 221, 376, 445, 782, 953, 1457, 1697, 2501, 2467, 4030, 4501, 6176, 6821, 9087, 9025, 12927, 13989, 17876, 19181, 24130, 21481, 31901, 33857, 41417, 43793, 52922, 52957, 66676, 69997, 82955, 86801, 102051, 97735, 124272, 129405, 149942, 155849

Offset

4,1

Links

Table of n, a(n) for n=4..46.

Eric Weisstein's World of Mathematics, Face

Eric Weisstein's World of Mathematics, Polygon Diagonal Intersection Graph

Formula

a(n) = 2-A007569(n)+A135565(n) (by the polyhedral formula).

Crossrefs

Cf. A007569 (vertex count).

Cf. A135565 (edge count).

Sequence in context: A303854 A331714 A086168 * A108201 A289586 A223233

Adjacent sequences: A301745 A301746 A301747 * A301749 A301750 A301751

Keyword

nonn

Author

Eric W. Weisstein, Mar 26 2018

Status

approved