cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A218458 a(n) = 2*n^3 - 163*n^2 + 2777*n - 11927.

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%I A218458 #16 Sep 08 2022 08:46:04
%S A218458 -11927,-9311,-7009,-5009,-3299,-1867,-701,211,881,1321,1543,1559,
%T A218458 1381,1021,491,-197,-1031,-1999,-3089,-4289,-5587,-6971,-8429,-9949,
%U A218458 -11519,-13127,-14761,-16409,-18059,-19699,-21317,-22901,-24439,-25919
%N A218458 a(n) = 2*n^3 - 163*n^2 + 2777*n - 11927.
%C A218458 A prime-producing cubic polynomial. Produces 78 distinct primes if we scan the absolute values of the first 100 terms.
%H A218458 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A218458 G.f.: (-11927+38397*x-41327*x^2+14869*x^3)/(x-1)^4. - _R. J. Mathar_, Nov 07 2012
%F A218458 a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - _Wesley Ivan Hurt_, Apr 21 2021
%t A218458 Table[2n^3-163n^2+2777n-11927,{n,0,99}]
%t A218458 LinearRecurrence[{4,-6,4,-1},{-11927,-9311,-7009,-5009},40] (* _Harvey P. Dale_, Jan 31 2017 *)
%o A218458 (Maxima) A218458(n):=2*n^3-163*n^2+2777*n-11927$
%o A218458 makelist(A218458(n),n,0,30); /* _Martin Ettl_, Nov 08 2012 */
%o A218458 (Magma) [2*n^3 - 163*n^2 + 2777*n - 11927 : n in [0..60]]; // _Wesley Ivan Hurt_, Apr 21 2021
%Y A218458 Cf. A124363, A076808, A218456, A218457.
%K A218458 sign,easy
%O A218458 0,1
%A A218458 _Pedja Terzic_, Oct 29 2012