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A228700 a(n) = 2^n*(4^n-3^(n+1)+3*2^n-1)/6. 0
0, 0, 0, 8, 160, 2080, 22400, 217728, 1989120, 17461760, 149248000, 1252354048, 10373242880, 85129175040, 693959884800, 5629506387968, 45504088637440, 366845229137920, 2951654132940800, 23714655581503488, 190326054636748800, 1526262396511846400, 12232027326644224000, 97987805132628164608, 784692030546598952960 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
J. Brandts and C. Cihangir, Counting triangles that share their vertices with the unit n-cube, in Conference Applications of Mathematics 2013 in honor of the 70th birthday of Karel Segeth. Jan Brandts, Sergey Korotov, et al., eds., Institute of Mathematics AS CR, Prague 2013.
FORMULA
G.f.: 8*x^3 / ((2*x-1)*(4*x-1)*(6*x-1)*(8*x-1)). - Colin Barker, Sep 06 2013
MATHEMATICA
Table[2^n*(4^n - 3^(n + 1) + 3*2^n - 1)/6, {n, 0, 24}] (* Amiram Eldar, Oct 08 2020 *)
CROSSREFS
Sequence in context: A201030 A127369 A364741 * A036909 A369539 A221077
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Sep 05 2013
STATUS
approved

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Last modified April 15 12:37 EDT 2024. Contains 371687 sequences. (Running on oeis4.)