A016851 a(n) = (5*n)^3.

0, 125, 1000, 3375, 8000, 15625, 27000, 42875, 64000, 91125, 125000, 166375, 216000, 274625, 343000, 421875, 512000, 614125, 729000, 857375, 1000000, 1157625, 1331000, 1520875, 1728000, 1953125, 2197000, 2460375, 2744000, 3048625, 3375000, 3723875, 4096000

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1).

Crossrefs

Cf. A000578.

Programs

Magma

[(5*n)^3: n in [0..40]]; // Vincenzo Librandi, Feb 14 2014

Mathematica

(5Range[0,30])^3 (* or *) LinearRecurrence[{4,-6,4,-1},{0,125,1000,3375}, 30] (* Harvey P. Dale, Jun 18 2011 *)

PARI

a(n) = 125*n^3; \\ Michel Marcus, Feb 14 2014

Formula

a(0)=0, a(1)=125, a(2)=1000, a(3)=3375, a(n)=4*a(n-1)-6*a(n-2)+ 4*a(n-3)- a(n-4). - Harvey P. Dale, Jun 18 2011

G.f.: (125*(x+4*x^2+x^3))/(x-1)^4. - Harvey P. Dale, Jun 18 2011

a(n) = 125*A000578(n). - Michel Marcus, Feb 14 2014

Extensions

More terms from Michel Marcus, Feb 14 2014