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A024095 a(n) = 8^n - n^7. 2

%I #12 Sep 08 2022 08:44:48

%S 1,7,-64,-1675,-12288,-45357,-17792,1273609,14680064,129434759,

%T 1063741824,8570447421,68683644928,549693065371,4397941097600,

%U 35184201229457,281474708275200,2251799403346575,18014397897261952

%N a(n) = 8^n - n^7.

%H Vincenzo Librandi, <a href="/A024095/b024095.txt">Table of n, a(n) for n = 0..400</a>

%F From _Chai Wah Wu_, Jan 26 2020: (Start)

%F a(n) = 16*a(n-1) - 92*a(n-2) + 280*a(n-3) - 518*a(n-4) + 616*a(n-5) - 476*a(n-6) + 232*a(n-7) - 65*a(n-8) + 8*a(n-9) for n > 8.

%F G.f.: (-9*x^8 - 951*x^7 - 9436*x^6 - 18081*x^5 - 7182*x^4 + 287*x^3 + 84*x^2 + 9*x - 1)/((x - 1)^8*(8*x - 1)). (End)

%o (Magma) [8^n-n^7: n in [0..20]]; // _Vincenzo Librandi_, Jul 05 2011

%K sign,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)