id:A060049 - OEIS Search Results

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Triangulations of an n-gon such that each internal vertex has valence at least 6, i.e. nonpositively curved triangulations.

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0, 1, 1, 2, 5, 15, 50, 181, 697, 2821, 11892, 51874, 232974, 1073070, 5053029, 24264565, 118570292, 588567257, 2963358162, 15114174106, 78004013763, 406971280545, 2144659072330, 11407141925639, 61197287846831 (list; graph; listen)

	OFFSET	`1,4`
	LINKS	`Greg Kuperberg, Spiders for rank 2 Lie algebras, Comm. Math. Phys. 180 (1996), 109-151, arXiv:q-alg/9712003`
	FORMULA	`The g.f. B(x) is derived from the g.f. A(x) of A059710 by A(x) = A(x*B(x))+1.`
	EXAMPLE	`b(6) = 35 because there are 34 = A000108(4) triangulations without internal vertices, plus the triangulation with 6 pie slices.`
	CROSSREFS	`A059710.` `Sequence in context: A093129 A024718 A007853 this_sequence A107590 A007581 A124303` `Adjacent sequences: A060046 A060047 A060048 this_sequence A060050 A060051 A060052`
	KEYWORD	`easy,nonn`
	AUTHOR	`Greg Kuperberg (greg(AT)math.ucdavis.edu), Feb 15 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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