OFFSET
2,2
COMMENTS
Row n contains 2^(n-1)-1 terms.
Also the triangle of even-order coefficients (odd coefficients are all 0) of the hypercube graph cycle polynomials ordered from smallest to largest exponent starting with x^4. - Eric W. Weisstein, Feb 05 2014
REFERENCES
Initial terms computed by Daniele Degiorgi (danieled(AT)inf.ethz.ch).
LINKS
Eric Weisstein's World of Mathematics, Cycle Polynomial
Eric Weisstein's World of Mathematics, Hypercube Graph
EXAMPLE
Triangle begins:
1,
6, 16, 6,
24, 128, 696, 2112, 5024, 5376, 1344,
80, 640, 6720, 68736, 591200, 4652160, 32146800, 185285120, 865894848, 3136412160, 8315531200, 14800412160, 15448366080, 7413471744, 906545760,
....
In terms of cycle polynomials:
x^4
6*x^4 + 16*x^6 + 6*x^8
24*x^4 + 128*x^6 + 696*x^8 + 2112*x^10 + 5024*x^12 + 5376*x^14 + 1344*x^16
...
MATHEMATICA
Table[Table[Length[FindCycle[HypercubeGraph[n], {k}, All]], {k, 4, 2^n, 2}], {n, 4}] // Flatten (* Eric W. Weisstein, Mar 23 2020 *)
CROSSREFS
KEYWORD
nonn,tabf,more,hard
AUTHOR
Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 12 2003
EXTENSIONS
Corrected by Andrew Weimholt, Nov 14 2009
Initial terms of T(6,k) from Eric W. Weisstein, Mar 23 2020
STATUS
approved