A024117 a(n) = 10^n - n^3.

1, 9, 92, 973, 9936, 99875, 999784, 9999657, 99999488, 999999271, 9999999000, 99999998669, 999999998272, 9999999997803, 99999999997256, 999999999996625, 9999999999995904, 99999999999995087, 999999999999994168, 9999999999999993141, 99999999999999992000

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (14,-46,64,-41,10).

Formula

From Colin Barker, Oct 05 2018: (Start)

G.f.: (1 - 5*x + 12*x^2 + 35*x^3 + 11*x^4) / ((1 - x)^4*(1 - 10*x)).

a(n) = 14*a(n-1) - 46*a(n-2) + 64*a(n-3) - 41*a(n-4) + 10*a(n-5) for n>4.

(End)

Prog

(Magma) [10^n-n^3: n in [0..20]]; // Vincenzo Librandi, Jun 30 2011
(PARI) Vec((1 - 5*x + 12*x^2 + 35*x^3 + 11*x^4) / ((1 - x)^4*(1 - 10*x)) + O(x^30)) \\ Colin Barker, Oct 05 2018

Crossrefs

Sequence in context: A164913 A007403 A015587 * A261855 A076456 A297580

Adjacent sequences: A024114 A024115 A024116 * A024118 A024119 A024120

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved