A024147 a(n) = 12^n - n^7.

1, 11, 16, -459, 4352, 170707, 2706048, 35008265, 427884544, 5154997383, 61907364224, 742988883517, 8916064616448, 106993142630555, 1283918359135360, 15407021403726993, 184884258626600960

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (20, -124, 392, -742, 896, -700, 344, -97, 12).

Formula

From Chai Wah Wu, Jan 26 2020: (Start)

a(n) = 20*a(n-1) - 124*a(n-2) + 392*a(n-3) - 742*a(n-4) + 896*a(n-5) - 700*a(n-6) + 344*a(n-7) - 97*a(n-8) + 12*a(n-9) for n > 8.

G.f.: (-13*x^8 - 1431*x^7 - 14200*x^6 - 27745*x^5 - 11946*x^4 - 193*x^3 + 80*x^2 + 9*x - 1)/((x - 1)^8*(12*x - 1)). (End)

Mathematica

Array[12^# - #^7 &, 17, 0] (* Michael De Vlieger, Jan 26 2020 *)
LinearRecurrence[{20, -124, 392, -742, 896, -700, 344, -97, 12}, {1, 11, 16, -459, 4352, 170707, 2706048, 35008265, 427884544}, 20] (* Harvey P. Dale, May 09 2022 *)

Prog

(Magma) [12^n-n^7: n in [0..20]]; // Vincenzo Librandi, Jul 02 2011

Crossrefs

Sequence in context: A166663 A032327 A032075 * A025141 A226678 A105709

Adjacent sequences: A024144 A024145 A024146 * A024148 A024149 A024150

Keyword

sign,easy

Author

N. J. A. Sloane

Status

approved