A017319 a(n) = (10*n + 4)^3.

64, 2744, 13824, 39304, 85184, 157464, 262144, 405224, 592704, 830584, 1124864, 1481544, 1906624, 2406104, 2985984, 3652264, 4410944, 5268024, 6229504, 7301384, 8489664, 9800344, 11239424

Offset

0,1

Links

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

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

Formula

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=64, a(1)=2744, a(2)=13824, a(3)=39304. - Harvey P. Dale, Oct 01 2014

G.f.: 8*(8 + 311*x + 404*x^2 + 27*x^3)/(x-1)^4. - R. J. Mathar, Mar 20 2018

Mathematica

(10*Range[0, 30]+4)^3 (* or *) LinearRecurrence[{4, -6, 4, -1}, {64, 2744, 13824, 39304}, 30] (* Harvey P. Dale, Oct 01 2014 *)

Prog

(Magma) [(10*n+4)^3: n in [0..40] ]; // Vincenzo Librandi, Aug 01 2011

Crossrefs

Sequence in context: A265632 A144843 A284228 * A036531 A301840 A302068

Adjacent sequences: A017316 A017317 A017318 * A017320 A017321 A017322

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved