A024070 a(n) = 6^n-n^8.

1, 5, -220, -6345, -64240, -382849, -1632960, -5484865, -15097600, -32969025, -39533824, 148438175, 1746800640, 12244963295, 76888375040, 467622093951, 2816814940160, 16919683687295, 101548936707840

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Formula

From Chai Wah Wu, May 13 2017: (Start)

a(n) = 15*a(n-1) - 90*a(n-2) + 300*a(n-3) - 630*a(n-4) + 882*a(n-5) - 840*a(n-6) + 540*a(n-7) - 225*a(n-8) + 55*a(n-9) - 6*a(n-10) for n > 9.

G.f.: (5*x^9 + 1490*x^8 + 25475*x^7 + 89505*x^6 + 77969*x^5 + 10265*x^4 - 2895*x^3 - 205*x^2 - 10*x + 1)/((x - 1)^9*(6*x - 1)). (End)

Maple

A024070:=n->6^n-n^8: seq(A024070(n), n=0..30); # Wesley Ivan Hurt, Apr 26 2017

Mathematica

Array[6^# - #^8 &, 19, 0] (* or *)
CoefficientList[Series[(5 x^9 + 1490 x^8 + 25475 x^7 + 89505 x^6 + 77969 x^5 + 10265 x^4 - 2895 x^3 - 205 x^2 - 10 x + 1)/((x - 1)^9*(6 x - 1)), {x, 0, 18}], x] (* Michael De Vlieger, May 13 2017 *)

Prog

(Magma) [6^n-n^8: n in [0..25]]; // Vincenzo Librandi, Jul 03 2011

Crossrefs

Sequence in context: A345465 A346196 A261945 * A290179 A050617 A066462

Adjacent sequences: A024067 A024068 A024069 * A024071 A024072 A024073

Keyword

sign,easy

Author

N. J. A. Sloane

Status

approved