A017211 a(n) = (9*n + 4)^3.

64, 2197, 10648, 29791, 64000, 117649, 195112, 300763, 438976, 614125, 830584, 1092727, 1404928, 1771561, 2197000, 2685619, 3241792, 3869893, 4574296, 5359375, 6229504, 7189057, 8242408

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).

Crossrefs

Cf. A000578 (n^3), A017209 (9*n+4).

Programs

Magma

[(9*n+4)^3: n in [0..35]]; // Vincenzo Librandi, Jul 25 2011

Maple

A017211:=n->(9*n+4)^3; seq(A017211(n), n=0..35); # Wesley Ivan Hurt, Jan 22 2014

Mathematica

Table[(9n+4)^3, {n, 0, 35}] (* Wesley Ivan Hurt, Jan 22 2014 *)
LinearRecurrence[{4,-6,4,-1},{64,2197,10648,29791},30] (* Harvey P. Dale, Jan 21 2017 *)

Formula

a(n) = A017209(n)^3 = A000578(A017209(n)). - Wesley Ivan Hurt, Jan 22 2014

G.f.: (64+1941*x+2244*x^2+125*x^3)/(x-1)^4. - R. J. Mathar, Jul 14 2016

a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - Wesley Ivan Hurt, May 26 2024