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A135327 Number of triangulated surfaces (of any genus) with n vertices. 0
1, 0, 1, 3, 21, 586, 50531, 16141671 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,4

LINKS

Table of n, a(n) for n=3..10.

Gennaro Amendola, Decomposition and Enumeration of Triangulated Surfaces, Experiment. Math. 17-2 (2008), 153-166, arXiv:0705.1835 [math.CO] table 2, page 20.

EXAMPLE

a(3) = 1 because the unique surface with 3 vertices is on the closed surface S^2.

a(4) = 0 because there are no surface with 4 vertices in Amendola's table.

a(5) = 1 because the unique surface with 5 vertices is on the closed surface RP^2.

a(6) = 3 because there is a unique surface with 6 vertices on the closed surface T^2 and two on RP^2, so 1 + 2 = 3.

a(7) = 21 because there are 5 surfaces with 7 vertices on the closed surface T^2, 6 on RP^2 and 10 on K^2, so 5 + 6 + 10 = 21.

a(8) = 46 + 11 + 108 + 284 + 134 + 3 = 586 (see table).

a(9) = 230 + 1261 + 59 + 28 + 597 + 6919 + 18166 + 18199 + 4994 + 78 = 50531 (see table).

a(10) = 1513 + 50878 + 99177 + 3892 + 356 + 3864 + 82588 + 713714 + 3006044 + 5672821 + 4999850 + 1453490 + 53484 = 16141671.

CROSSREFS

Cf. A108239.

Sequence in context: A014375 A135748 A145386 * A128679 A292331 A111432

Adjacent sequences:  A135324 A135325 A135326 * A135328 A135329 A135330

KEYWORD

nonn,more

AUTHOR

Jonathan Vos Post, Dec 06 2007

EXTENSIONS

Edited by N. J. A. Sloane, Dec 07 2007

Missing a(5) = 1 inserted by Andrey Zabolotskiy, Nov 20 2017

STATUS

approved

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Last modified August 4 16:34 EDT 2020. Contains 336202 sequences. (Running on oeis4.)