A198398 8^n - 8*n.

1, 0, 48, 488, 4064, 32728, 262096, 2097096, 16777152, 134217656, 1073741744, 8589934504, 68719476640, 549755813784, 4398046510992, 35184372088712, 281474976710528, 2251799813685112, 18014398509481840, 144115188075855720

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10,-17,8).

Formula

a(n) = 10*a(n-1)-17*a(n-2)+8*a(n-3) for n>2.

G.f.: (1 - 10*x + 65*x^2)/((1 - 8*x)*(1 -x)^2). - Vincenzo Librandi, Jan 04 2013

Mathematica

CoefficientList[Series[(1 - 10*x + 65*x^2)/((1 - 8*x)*(1 -x)^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)
LinearRecurrence[{10, -17, 8}, {1, 0, 48}, 30] (* Harvey P. Dale, Mar 13 2023 *)

Prog

(Magma) [8^n-8*n: n in [0..25]];
(PARI) a(n)=8^n-8*n \\ Charles R Greathouse IV, Jul 06 2017

Crossrefs

Cf. A005803, A107583, A107584, A107585.

Sequence in context: A299785 A299787 A168351 * A211149 A034778 A060674

Adjacent sequences: A198395 A198396 A198397 * A198399 A198400 A198401

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 26 2011

Status

approved