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A228701 a(n) = 2^(n-1)*(3^n-2^(n+1)+1). 0
0, 0, 4, 48, 400, 2880, 19264, 123648, 774400, 4776960, 29185024, 177205248, 1071616000, 6463242240, 38913654784, 234018766848, 1406260019200, 8446149918720, 50711258988544, 304404992360448, 1826979708928000, 10964077274726400, 65793259737186304, 394794742786818048, 2368909194192486400, 14214018115074785280, 85286360490195288064 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
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.: -4*x^2 / ((2*x-1)*(4*x-1)*(6*x-1)). - Colin Barker, Sep 06 2013
MATHEMATICA
LinearRecurrence[{12, -44, 48}, {0, 0, 4}, 30] (* Harvey P. Dale, Sep 13 2016 *)
CROSSREFS
Sequence in context: A192831 A158681 A269180 * A111903 A059409 A357663
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Sep 05 2013
STATUS
approved

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Last modified April 14 14:16 EDT 2024. Contains 371665 sequences. (Running on oeis4.)