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A036572
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Number of tetrahedra in largest triangulation of polygonal prism with regular polygonal base.
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1
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3, 6, 10, 14, 19, 24, 30, 36, 43, 50, 58, 66, 75, 84, 94, 104, 115, 126, 138, 150, 163, 176, 190, 204, 219, 234, 250, 266, 283, 300, 318, 336, 355, 374, 394, 414, 435, 456, 478, 500, 523, 546, 570, 594, 619, 644, 670, 696, 723, 750, 778, 806
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,1
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REFERENCES
| J. A. De Loera, F. Santos and F. Takeuchi, ``Extremal properties of optimal dissections of convex polytopes'', SIAM Journal Discrete Mathematics, 14, 2001, 143-161.
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LINKS
| M. Develin, Maximal triangulations of a regular prism
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FORMULA
| a(n) = ceil((n*n+6*n-16)/4) = A004116(n) - 3. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 13 2003
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CROSSREFS
| Cf. A036573.
Sequence in context: A145913 A130246 A167381 * A139328 A134919 A033437
Adjacent sequences: A036569 A036570 A036571 * A036573 A036574 A036575
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KEYWORD
| nonn
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AUTHOR
| Jesus De Loera (deloera(AT)math.ucdavis.edu)
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EXTENSIONS
| More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 13 2003
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