A017535 a(n) = (12*n+1)^3.

1, 2197, 15625, 50653, 117649, 226981, 389017, 614125, 912673, 1295029, 1771561, 2352637, 3048625, 3869893, 4826809, 5929741, 7189057, 8615125, 10218313, 12008989, 13997521, 16194277, 18609625, 21253933, 24137569, 27270901, 30664297, 34328125, 38272753

Offset

0,2

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).

Formula

G.f.: (1 + 2193*x + 6843*x^2 + 1331*x^3)/(1-x)^4. - Vincenzo Librandi, May 26 2016

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4), for n>3. - Vincenzo Librandi, May 26 2016

a(n) = A000578(A017533(n)). - Michel Marcus, May 26 2016

Mathematica

Table[(12 n + 1)^3, {n, 0, 50}] (* Vincenzo Librandi, May 26 2016 *)

Prog

(Maxima) makelist( (12*n+1)^3  , n, 0, 30); /* Martin Ettl, Oct 21 2012 */
(Magma) [(12*n + 1)^3: n in [0..40]]; // Vincenzo Librandi, May 26 2016

Crossrefs

Cf. A000578, A017533.

Sequence in context: A109408 A292714 A202459 * A180693 A013799 A013868

Adjacent sequences: A017532 A017533 A017534 * A017536 A017537 A017538

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved