A017127 a(n) = (8*n + 5)^3.

125, 2197, 9261, 24389, 50653, 91125, 148877, 226981, 328509, 456533, 614125, 804357, 1030301, 1295029, 1601613, 1953125, 2352637, 2803221, 3307949, 3869893, 4492125, 5177717, 5929741, 6751269

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)=125, a(1)=2197, a(2)=9261, a(3)=24389. - Harvey P. Dale, May 09 2013

G.f.: ( 125 + 1697*x + 1223*x^2 + 27*x^3 ) / ( (x-1)^4 ). - R. J. Mathar, May 08 2015

Mathematica

(8*Range[0, 30]+5)^3 (* or *) LinearRecurrence[{4, -6, 4, -1}, {125, 2197, 9261, 24389}, 30] (* Harvey P. Dale, May 09 2013 *)

Prog

(Magma) [(8*n+5)^3: n in [0..35] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Sequence in context: A102061 A373007 A080169 * A119633 A017223 A265470

Adjacent sequences: A017124 A017125 A017126 * A017128 A017129 A017130

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved