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%I #19 May 06 2023 16:50:37
%S -45523,-37997,-31321,-25447,-20327,-15913,-12157,-9011,-6427,-4357,
%T -2753,-1567,-751,-257,-37,-43,-227,-541,-937,-1367,-1783,-2137,-2381,
%U -2467,-2347,-1973,-1297,-271,1153,3023,5387,8293,11789,15923,20743,26297,32633,39799
%N a(n) = 8*n^3 - 449*n^2 + 7967*n - 45523.
%C |a(n)| are distinct primes for n = 0 to 39.
%H Arkadiusz Wesolowski, <a href="/A253045/b253045.txt">Table of n, a(n) for n = 0..1000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomial</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F G.f.: (53947*x^3 - 152471*x^2 + 144095*x - 45523)/(x - 1)^4.
%p seq(8*n^3-449*n^2+7967*n-45523, n=0..37);
%t Table[8*n^3-449*n^2+7967*n-45523, {n, 0, 37}]
%t LinearRecurrence[{4,-6,4,-1},{-45523,-37997,-31321,-25447},40] (* _Harvey P. Dale_, May 06 2023 *)
%o (Magma) [8*n^3-449*n^2+7967*n-45523: n in [0..37]];
%o (PARI) for(n=0, 37, print1(8*n^3-449*n^2+7967*n-45523, ", "));
%K sign,easy
%O 0,1
%A _Arkadiusz Wesolowski_, Dec 26 2014
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