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A017144 a(n) = (8*n + 6)^8. 1

%I #21 Sep 08 2022 08:44:41

%S 1679616,1475789056,54875873536,656100000000,4347792138496,

%T 20047612231936,72301961339136,218340105584896,576480100000000,

%U 1370114370683136,2992179271065856,6095689385410816,11716593810022656

%N a(n) = (8*n + 6)^8.

%H Vincenzo Librandi, <a href="/A017144/b017144.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

%F a(n) = 256*A016844(n). - _R. J. Mathar_, Aug 26 2015

%F a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9); a(0)=1679616, a(1)=1475789056, a(2)=54875873536, a(3)=656100000000, a(4)=4347792138496, a(5)=20047612231936, a(6)=72301961339136, a(7)=218340105584896, a(8)=576480100000000. - _Harvey P. Dale_, Jul 23 2016

%t (8*Range[0,20]+6)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{1679616,1475789056,54875873536,656100000000,4347792138496,20047612231936,72301961339136,218340105584896,576480100000000},20] (* _Harvey P. Dale_, Jul 23 2016 *)

%o (Magma) [(8*n+6)^8: n in [0..20]]; // _Vincenzo Librandi_, Jul 22 2011

%Y Cf. A016844.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)