A008513 Number of points on surface of 6-dimensional cube.

0, 64, 728, 4032, 14896, 42560, 102024, 215488, 413792, 737856, 1240120, 1985984, 3055248, 4543552, 6563816, 9247680, 12746944, 17235008, 22908312, 29987776, 38720240, 49379904, 62269768

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

G.f.: 8*x*(8 + 43*x + 78*x^2 + 43*x^3 + 8*x^4)/(x-1)^6. - Colin Barker, Jan 02 2012

a(n) = 12*n^5 + 40*n^3 + 12*n. - Charles R Greathouse IV, Jan 02 2012

E.g.f.: 4*x*(16 +75*x +85*x^2 +30*x^3 +3*x^4)*exp(x). - G. C. Greubel, Nov 09 2019

Maple

seq((n+1)^6-(n-1)^6, n=0..30);

Mathematica

Table[(n+1)^6-(n-1)^6, {n, 0, 30}] (* G. C. Greubel, Nov 09 2019 *)

Prog

(Magma) [(n+1)^6-(n-1)^6: n in [0..30]]; // Vincenzo Librandi, Aug 27 2011
(PARI) a(n)=n++^6-(n-2)^6 \\ Charles R Greathouse IV, Jan 02 2012
(Sage) [(n+1)^6-(n-1)^6 for n in (0..30)] # G. C. Greubel, Nov 09 2019
(GAP) List([0..30], n-> (n+1)^6-(n-1)^6); # G. C. Greubel, Nov 09 2019

Crossrefs

Sequence in context: A316288 A306052 A317229 * A321830 A182673 A182674

Adjacent sequences: A008510 A008511 A008512 * A008514 A008515 A008516

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved