id:A128114 - OEIS Search Results

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Number of uniform polyhedra with n vertices.

+0
4

0, 0, 0, 1, 0, 3, 0, 2, 0, 5, 0, 10, 0, 7, 0, 5, 0, 7, 0, 9, 0, 12, 0, 15, 0, 14, 0, 7, 0, 18, 0, 9, 0, 19, 0, 7, 0, 21, 0, 10, 0, 14, 0, 11, 0, 26, 0, 12, 0, 23, 0, 14, 0, 21, 0, 14, 0, 33, 0, 42, 0, 35, 0, 19, 0, 23, 0, 18, 0, 28, 0, 14, 0, 42, 0, 21, 0, 28, 0, 18, 0, 47, 0, 14, 0, 49, 0, 24, 0 (list; graph; listen)

	OFFSET	`1,6`
	LINKS	`Hart, George W., Uniform Polyhedra.` `Maeder, Roman E., Uniform Polyhedra.` `Eric Weisstein's World of Mathematics, Uniform Polyhedron.`
	FORMULA	`After 120th term, a(n) equals 0 for n odd and 2 * A055684(n/2) + A128115(n/2) + 2 for n even.`
	EXAMPLE	`Every other term is zero because there are no uniform polyhedra with an odd number of vertices. a(6)=3 because there are the octahedron, the tetrahemihexahedron and the triangular prism.`
	CROSSREFS	`Cf. A128914.` `Sequence in context: A112574 A061064 A016597 this_sequence A065152 A073538 A072780` `Adjacent sequences: A128111 A128112 A128113 this_sequence A128115 A128116 A128117`
	KEYWORD	`nonn`
	AUTHOR	`Paulo de A. Sachs (sachs6(AT)yahoo.de), Feb 15 2007, corrected Feb 15 2007`

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Last modified December 5 20:25 EST 2009. Contains 170428 sequences.

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