cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A016887 a(n) = (5*n+3)^3.

Original entry on oeis.org

27, 512, 2197, 5832, 12167, 21952, 35937, 54872, 79507, 110592, 148877, 195112, 250047, 314432, 389017, 474552, 571787, 681472, 804357, 941192, 1092727, 1259712, 1442897, 1643032, 1860867, 2097152, 2352637, 2628072, 2924207, 3241792, 3581577, 3944312
Offset: 0

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Crossrefs

Programs

  • Magma
    [(5*n+3)^3: n in [0..40]]; // Vincenzo Librandi, May 26 2016
  • Mathematica
    (5 Range[0, 30] + 3)^3 (* or *) LinearRecurrence[{4, -6, 4, -1}, {27, 512, 2197, 5832}, 30] (* Harvey P. Dale, Nov 26 2014 *)
    Table[(5 n + 3)^3, {n, 0, 40}] (* Vincenzo Librandi, May 26 2016 *)

Formula

From Ilya Gutkovskiy, May 26 2016: (Start)
O.g.f.: (27 + 404*x + 311*x^2 + 8*x^3)/(1 - x)^4.
E.g.f.: (27 + 485*x + 600*x^2 + 125*x^3)*exp(x). (End)
a(n) = A000578(A016885(n)). - Michel Marcus, May 26 2016