A016995 a(n) = (7*n + 1)^3.

1, 512, 3375, 10648, 24389, 46656, 79507, 125000, 185193, 262144, 357911, 474552, 614125, 778688, 970299, 1191016, 1442897, 1728000, 2048383, 2406104, 2803221, 3241792, 3723875, 4251528, 4826809

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.: (216*x^3 + 1333*x^2 + 508*x + 1)/(1-x)^4. - Vincenzo Librandi, Jan 27 2013

Maple

seq((7*n+1)^3, n=0..25); # Muniru A Asiru, Oct 13 2018

Mathematica

CoefficientList[Series[(216*x^3 + 1333*x^2 + 508*x + 1)/(1 - x)^4, {x, 0, 30}], x] (* Vincenzo Librandi, Jan 27 2013 *)
(7*Range[0, 40]+1)^3 (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 512, 3375, 10648}, 40] (* Harvey P. Dale, Sep 15 2018 *)

Prog

(Magma) [(7*n+1)^3: n in [0..40]]; // Vincenzo Librandi, Jul 13 2011
(PARI) a(n) = (7*n+1)^3; \\ Altug Alkan, Oct 13 2018
(GAP) List([0..25], n->(7*n+1)^3); # Muniru A Asiru, Oct 13 2018

Crossrefs

Sequence in context: A253985 A253978 A250574 * A254092 A254085 A197710

Adjacent sequences: A016992 A016993 A016994 * A016996 A016997 A016998

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved