A017619 a(n) = (12*n + 8)^3.

512, 8000, 32768, 85184, 175616, 314432, 512000, 778688, 1124864, 1560896, 2097152, 2744000, 3511808, 4410944, 5451776, 6644672, 8000000, 9528128, 11239424, 13144256, 15252992, 17576000, 20123648

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Programs

Magma

[(12*n+8)^3 : n in [0..30]]; // Vincenzo Librandi, Sep 29 2011

Mathematica

(12*Range[0,30]+8)^3 (* or *) LinearRecurrence[{4,-6,4,-1},{512,8000,32768,85184},30] (* Harvey P. Dale, Dec 14 2015 *)

Formula

From R. J. Mathar, Jun 24 2009: (Start)

G.f.: 64*(8 + 93*x + 60*x^2 + x^3)/(-1+x)^4.

a(n) = 64*A016791(n). (End)

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=512, a(1)=8000, a(2)=32768, a(3)=85184. - Harvey P. Dale, Dec 14 2015