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A024043 a(n) = 4^n - n^7. 2

%I #16 Sep 08 2022 08:44:48

%S 1,3,-112,-2123,-16128,-77101,-275840,-807159,-2031616,-4520825,

%T -8951424,-15292867,-19054592,4360347,163021952,902882449,4026531840,

%U 16769530511,68107256704,273984035205,1098231627776

%N a(n) = 4^n - n^7.

%H Vincenzo Librandi, <a href="/A024043/b024043.txt">Table of n, a(n) for n = 0..500</a>

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

%F a(n) = 12*a(n-1) - 60*a(n-2) + 168*a(n-3) - 294*a(n-4) + 336*a(n-5) - 252*a(n-6) + 120*a(n-7) - 33*a(n-8) + 4*a(n-9) for n > 8.

%F G.f.: (-5*x^8 - 471*x^7 - 4672*x^6 - 8417*x^5 - 2418*x^4 + 767*x^3 + 88*x^2 + 9*x - 1)/((x - 1)^8*(4*x - 1)). (End)

%t Table[4^n-n^7,{n,0,20}] (* _Harvey P. Dale_, Mar 24 2011 *)

%o (Magma) [4^n-n^7: n in [0..30]]; // _Vincenzo Librandi_, Jul 02 2011

%K sign,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 25 10:34 EDT 2024. Contains 371967 sequences. (Running on oeis4.)