The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A167981 Number of 2n-cycles on the graph of the tesseract, 2 <= n <= 8. 4
 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 SchlĂ¤fli symbol for the tesseract is {4,3,3}. LINKS A. Weimholt, Tesseract Foldout Eric Weisstein's World of Mathematics, Cycle Polynomial Eric Weisstein's World of Mathematics, Tesseract Graph EXAMPLE a(2) = 24 because there are 24 4-cycles on the graph of the tesseract. The cycle polynomial is  24*x^4 + 128*x^6 + 696*x^8 + 2112*x^10 + 5024*x^12 + 5376*x^14 + 1344*x^16. 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 (2k-cycles on graph of n-cube). Cf. A144151 (ignoring first three columns (0<=k<=2), k-cycles on (n-1)-simplex). Cf. A167986 (k-cycles on graph of n-orthoplex). Sequence in context: A326367 A182186 A188304 * A185490 A293365 A093699 Adjacent sequences:  A167978 A167979 A167980 * A167982 A167983 A167984 KEYWORD fini,full,nonn AUTHOR Andrew Weimholt, Nov 16 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 7 11:05 EDT 2020. Contains 333301 sequences. (Running on oeis4.)