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.

A124363 a(n) = n^3 + 71*n + 1.

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%I A124363 #18 Jun 02 2025 00:31:30
%S A124363 1,73,151,241,349,481,643,841,1081,1369,1711,2113,2581,3121,3739,4441,
%T A124363 5233,6121,7111,8209,9421,10753,12211,13801,15529,17401,19423,21601,
%U A124363 23941,26449,29131,31993,35041,38281,41719,45361,49213,53281,57571
%N A124363 a(n) = n^3 + 71*n + 1.
%C A124363 Produces 51 primes between 0 and 99.
%H A124363 Joe L. Mott and Kermit Rose, <a href="http://www.math.fsu.edu/~aluffi/archive/paper134.ps">Prime-Producing Cubic Polynomials</a>.
%H A124363 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F A124363 G.f.: x*(1+69*x-135*x^2+71*x^3) / (x-1)^4 . - _R. J. Mathar_, Jan 25 2016
%t A124363 Table[n^3 + 71*n + 1, {n, 0, 99}]
%t A124363 LinearRecurrence[{4,-6,4,-1},{1,73,151,241},50] (* _Harvey P. Dale_, Oct 01 2021 *)
%o A124363 (Maxima) A124363(n):=n^3 + 71*n + 1$
%o A124363 makelist(A124363(n),n,0,30); /* _Martin Ettl_, Nov 08 2012 */
%K A124363 nonn,easy
%O A124363 1,2
%A A124363 _Roger L. Bagula_, May 27 2007