A024120 a(n) = 10^n - n^6.

1, 9, 36, 271, 5904, 84375, 953344, 9882351, 99737856, 999468559, 9999000000, 99998228439, 999997014016, 9999995173191, 99999992470464, 999999988609375, 9999999983222784, 99999999975862431, 999999999965987776

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (17,-91,245,-385,371,-217,71,-10)

Formula

G.f.: ( 1 - 8*x - 26*x^2 + 233*x^3 + 2753*x^4 + 2942*x^5 + 576*x^6 + 9*x^7 ) / ( (10*x-1)*(x-1)^7 ). - R. J. Mathar, Jun 30 2011

Mathematica

Table[10^n-n^6, {n, 0, 30}] (* or *) LinearRecurrence[ {17, -91, 245, -385, 371, -217, 71, -10}, {1, 9, 36, 271, 5904, 84375, 953344, 9882351}, 30] (* Harvey P. Dale, Oct 09 2012 *)

Prog

(Magma) [10^n-n^6: n in [0..20]]; // Vincenzo Librandi, Jun 30 2011
(PARI) a(n) = 10^n-n^6; \\ Altug Alkan, Oct 04 2018

Crossrefs

Cf. A001014 (n^6), A011557 (10^n).

Sequence in context: A036907 A027381 A335783 * A262782 A204513 A223306

Adjacent sequences: A024117 A024118 A024119 * A024121 A024122 A024123

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved