A024073 a(n) = 6^n - n^11.

1, 5, -2012, -176931, -4193008, -48820349, -362750400, -1977046807, -8588254976, -31370981913, -99939533824, -284948873555, -740831588352, -1779099700021, -3971201005568, -8179570874799, -14771076136960

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (18, -138, 616, -1815, 3762, -5676, 6336, -5247, 3190, -1386, 408, -73, 6).

Formula

a(n) = 18*a(n-1) - 138*a(n-2) + 616*a(n-3) - 1815*a(n-4) + 3762*a(n-5) - 5676*a(n-6) + 6336*a(n-7) - 5247*a(n-8) + 3190*a(n-9) - 1386*a(n-10) + 408*a(n-11) - 73*a(n-12) + 6*a(n-13). - Wesley Ivan Hurt, Mar 17 2023

Mathematica

Table[6^n-n^11, {n, 0, 50}] (* or *) LinearRecurrence[{18, -138, 616, -1815, 3762, -5676, 6336, -5247, 3190, -1386, 408, -73, 6}, {1, 5, -2012, -176931, -4193008, -48820349, -362750400, -1977046807, -8588254976, -31370981913, -99939533824, -284948873555, -740831588352}, 30] (* Harvey P. Dale, Jan 16 2017 *)

Prog

(Magma) [6^n-n^11: n in [0..25]]; // Vincenzo Librandi, Jul 03 2011

Crossrefs

Sequence in context: A003733 A364638 A201300 * A301532 A105035 A004816

Adjacent sequences: A024070 A024071 A024072 * A024074 A024075 A024076

Keyword

sign,easy

Author

N. J. A. Sloane

Status

approved