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A026740 a(n) = 2^n*(2^n-1)*(2^n-2)/6. 1
0, 0, 4, 56, 560, 4960, 41664, 341376, 2763520, 22238720, 178433024, 1429559296, 11444858880, 91592417280, 732873539584, 5863525154816, 46910348656640, 375291379056640, 3002365391929344, 24019060573863936, 192153034345676800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

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; http://www.math.cas.cz/~am2013/proceedings/contributions/brandts.pdf.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (14, -56, 64).

FORMULA

a(n) = binomial(2^n, 3).

a(0)=0, a(1)=0, a(2)=4, a(n)=14*a(n-1)-56*a(n-2)+64*a(n-3). - Harvey P. Dale, Jun 20 2012

MAPLE

seq(binomial(2^n, 3), n=0..20); # Zerinvary Lajos, Feb 22 2008

MATHEMATICA

Binomial[2^Range[0, 20], 3] (* or *) LinearRecurrence[{14, -56, 64}, {0, 0, 4}, 21] (* Harvey P. Dale, Jun 20 2012 *)

PROG

(MAGMA) [2^n*(2^n-1)*(2^n-2)/6: n in [0..30] ]; // Vincenzo Librandi, May 23 2011

CROSSREFS

Sequence in context: A020540 A101540 A224181 * A191466 A130219 A222687

Adjacent sequences:  A026737 A026738 A026739 * A026741 A026742 A026743

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 20 22:22 EDT 2019. Contains 322310 sequences. (Running on oeis4.)