A017283 a(n) = (10*n + 1)^3.

1, 1331, 9261, 29791, 68921, 132651, 226981, 357911, 531441, 753571, 1030301, 1367631, 1771561, 2248091, 2803221, 3442951, 4173281, 5000211, 5929741, 6967871, 8120601, 9393931, 10793861, 12326391, 13997521, 15813251, 17779581, 19902511, 22188041, 24642171, 27270901

Offset

0,2

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

G.f.: (1 + 1327*x + 3943*x^2 + 729*x^3)/(1-x)^4. - Bruno Berselli, Jul 30 2011

E.g.f.: exp(x)*(1 + 1330*x + 3300*x^2 + 1000*x^3). - Stefano Spezia, Oct 17 2025

Mathematica

(10*Range[0, 30]+1)^3 (* Harvey P. Dale, Nov 17 2019 *)
(* Alternative: *)
LinearRecurrence[{4, -6, 4, -1}, {1, 1331, 9261, 29791}, 30] (* Harvey P. Dale, Nov 17 2019 *)

Prog

(Magma) [(10*n+1)^3: n in [0..35]]; // Vincenzo Librandi, Jul 30 2011
(PARI) for(n=0, 27, print1((10*n+1)^3", ")); \\ Bruno Berselli, Jul 30 2011

Crossrefs

Sequence in context: A252347 A295900 A030100 * A017391 A017655 A209844

Adjacent sequences: A017280 A017281 A017282 * A017284 A017285 A017286

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Extensions

More terms from Bruno Berselli, Jul 30 2011

Status

approved