A007816 - OEIS

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A007816

Abstract simplicial 2-complexes on {1,2,3,...,n+3} which triangulate the 2-sphere: C(n+3,2).(4n+1)!/(3n+3)!.

1, 10, 195, 5712, 223440, 10929600, 641277000, 43859692800, 3424685806080, 300495408595200, 29262949937020800, 3131187613956864000, 365112996737448960000, 46075561988281233408000 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	REFERENCES	`W. T. Tutte, A census of planar triangulations, Canad. J. Math., 14 (1962), 21-38.`
	MAPLE	`f := n->binomial(n+3, 2)(4n+1)!/(3*n+3)!;`
	CROSSREFS	`Sequence in context: A134633 A006436 A187652 * A126463 A152561 A097127` `Adjacent sequences: A007813 A007814 A007815 * A007817 A007818 A007819`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`reiner(AT)math.umn.edu (Victor Reiner), edelman(AT)math.umn.edu (Paul Edelman)`

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Last modified February 16 21:30 EST 2012. Contains 205971 sequences.