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A016911 a(n) = (6*n)^3. 3
0, 216, 1728, 5832, 13824, 27000, 46656, 74088, 110592, 157464, 216000, 287496, 373248, 474552, 592704, 729000, 884736, 1061208, 1259712, 1481544, 1728000, 2000376, 2299968, 2628072, 2985984, 3375000, 3796416, 4251528, 4741632, 5268024, 5832000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Volume of a cube with side 6n. - Wesley Ivan Hurt, Jul 05 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

G.f.: 216*x*(1 + 4*x + x^2)/(1 - x)^4. - Vincenzo Librandi, Jul 05 2014

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. - Vincenzo Librandi, Jul 05 2014

a(n) = 216 * A000578(n). - Wesley Ivan Hurt, Jul 05 2014

MAPLE

A016911:=n->216*n^3: seq(A016911(n), n=0..40); # Wesley Ivan Hurt, Jul 05 2014

MATHEMATICA

Table[216 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[216 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 05 2014 *)

PROG

(MAGMA) [(6*n)^3: n in [0..40]]; // Vincenzo Librandi, May 03 2011

(MAGMA) I:=[0, 216, 1728, 5832]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Jul 05 2014

CROSSREFS

Cf. similar sequences listed in A244725.

Sequence in context: A016863 A033698 A121683 * A323801 A222694 A243862

Adjacent sequences:  A016908 A016909 A016910 * A016912 A016913 A016914

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)