A024106 a(n) = 9^n-n^5.

1, 8, 49, 486, 5537, 55924, 523665, 4766162, 43013953, 387361440, 3486684401, 31380898558, 282429287649, 2541865457036, 22876791917137, 205891131335274, 1853020187803265, 16677181698246712, 150094635295109553

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..400

Index entries for linear recurrences with constant coefficients, signature (15,-69,155,-195,141,-55,9).

Formula

G.f.: -(10*x^6+227*x^5+583*x^4+148*x^3-2*x^2-7*x+1) / ((x-1)^6*(9*x-1)). - Colin Barker, Jan 25 2015

Mathematica

Table[9^n-n^5, {n, 0, 20}] (* or *) LinearRecurrence[{15, -69, 155, -195, 141, -55, 9}, {1, 8, 49, 486, 5537, 55924, 523665}, 20] (* Harvey P. Dale, Sep 11 2019 *)

Prog

(Magma) [9^n-n^5: n in [0..25]]; // Vincenzo Librandi, Jul 06 2011
(PARI) Vec(-(10*x^6+227*x^5+583*x^4+148*x^3-2*x^2-7*x+1)/((x-1)^6*(9*x-1)) + O(x^100)) \\ Colin Barker, Jan 25 2015

Crossrefs

Sequence in context: A188708 A317752 A273497 * A176626 A176674 A176694

Adjacent sequences: A024103 A024104 A024105 * A024107 A024108 A024109

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved