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.
%I A257319 #25 Jul 04 2022 18:57:23
%S A257319 0,1840,88320,4152880,195187200,9173800240,431168613120,
%T A257319 20264924818480,952451466470400,44765218924110640,2103965289433201920,
%U A257319 98886368603360492080,4647659324357943129600,218439988244823327093040,10266679447506696373374720
%N A257319 Numbers n such that the n-th generation of Sawtooth 201 has minimum population in Conway's Game of Life.
%H A257319 LifeWiki, <a href="http://conwaylife.com/wiki/Sawtooth_201">Sawtooth 201</a>
%H A257319 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (48,-47).
%F A257319 a(n) = 47*a(n-1) + 1840.
%F A257319 a(n) = (47^(n-1) - 1)*40. - _Bill Gosper_, Apr 25 2015
%F A257319 G.f.: 1840*x^2/((47*x-1)*(x-1)). - _Alois P. Heinz_, May 03 2015
%F A257319 E.g.f.: 40*(exp(47*x) - 47*exp(x) + 46)/47. - _Stefano Spezia_, Jul 04 2022
%F A257319 a(n) = 1840 * A218750(n-1). - _Alois P. Heinz_, Jul 04 2022
%e A257319 The pattern begins at its minimum population of 201 at generation 0, and first returns to this population at generation 1840.
%t A257319 NestList[(47 # + 1840) &, 0, 100]
%t A257319 LinearRecurrence[{48,-47},{0,1840},20](* _Harvey P. Dale_, Sep 19 2017 *)
%Y A257319 Cf. A218750.
%K A257319 nonn,easy
%O A257319 1,2
%A A257319 _Adam P. Goucher_, Apr 20 2015