A167981 - OEIS

This site is supported by donations to The OEIS Foundation.

A167981

Number of 2n-cycles on the graph of the tesseract, 2<=n<=8

24, 128, 696, 2112, 5024, 5736, 1344 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`2,1`
	COMMENTS	`Row n=4 of the triangle in A085452` `The graph of any n-cube (n>1) contains only even length cycles.` `The tesseract is the 4 dimensional cube, and is one of 6 regular convex polytopes in 4 dimensions. The Schlafli symbol for the tesseract is {4,3,3}.`
	LINKS	`Table of n, a(n) for n=2..8.` `Eric Weisstein's World of Mathematics tesseract` `A. Weimholt tesseract net`
	EXAMPLE	`a(2) = 24 because there are 24 4-cycles on the graph of the tesseract.`
	CROSSREFS	`Cf. A167982 - n-cycles on graph of 16-cell` `Cf. A167983 - n-cycles on graph of 24-cell` `Cf. A167984 - n-cycles on graph of 120-cell` `Cf. A167985 - n-cycles on graph of 600-cell` `Cf. A085452 - T(n, k) = 2k-cycles on graph of n-cube` `Cf. A144151 - ignoring first three columns (0<=k<=2), T(n, k) gives k-cycles on (n-1)-simplex.` `Cf. A167986 - T(n, k) = k-cycles on graph of n-orthoplex` `Sequence in context: A044737 A182186 A188304 * A185490 A093699 A223409` `Adjacent sequences: A167978 A167979 A167980 * A167982 A167983 A167984`
	KEYWORD	`fini,full,nonn`
	AUTHOR	`Andrew Weimholt, Nov 16 2009`
	STATUS	`approved`

Content is available under The OEIS End-User License Agreement .

Last modified June 17 23:56 EDT 2013. Contains 226327 sequences.