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0, 64, 512, 1728, 4096, 8000, 13824, 21952, 32768, 46656, 64000, 85184, 110592, 140608, 175616, 216000, 262144, 314432, 373248, 438976, 512000, 592704, 681472, 778688, 884736, 1000000, 1124864, 1259712, 1404928, 1560896, 1728000, 1906624, 2097152
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OFFSET
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0,2
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COMMENTS
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Volume of a cube with side 4n. - Wesley Ivan Hurt, Jul 05 2014
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
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G.f.: 64*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) = 64 * A000578(n). - Wesley Ivan Hurt, Jul 05 2014
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MAPLE
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A016803:=n->64*n^3: seq(A016803(n), n=0..40); # Wesley Ivan Hurt, Jul 05 2014
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MATHEMATICA
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Table[64 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[64 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 05 2014 *)
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PROG
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(Magma) [64*n^3: n in [0..40]] /* or */ I:=[0, 64, 512, 1728]; [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
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CROSSREFS
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Cf. similar sequences listed in A244725.
Sequence in context: A221070 A297844 A233304 * A066430 A115740 A100415
Adjacent sequences: A016800 A016801 A016802 * A016804 A016805 A016806
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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