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.

A021408 Decimal expansion of 1/404.

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%I A021408 #20 Dec 14 2023 05:40:51
%S A021408 0,0,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,
%T A021408 2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,
%U A021408 7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2,4,7,5,2
%N A021408 Decimal expansion of 1/404.
%C A021408 After the first two terms, a(n) is periodic with period 4: repeat [2, 4, 7, 5]. - _Wesley Ivan Hurt_, Jul 10 2016
%H A021408 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,-1,1).
%F A021408 From _Wesley Ivan Hurt_, Jul 10 2016: (Start)
%F A021408 G.f.: x^2*(2+2*x+5*x^2)/(1-x+x^2-x^3).
%F A021408 a(n) = a(n-1) - a(n-2) + a(n-3) for n>4, a(n) = a(n-4) for n>5.
%F A021408 a(n) = (9 + 5*cos(n*Pi/2) + sin(n*Pi/2))/2 for n>1. (End)
%e A021408 0.0024752475247524752475247...
%p A021408 Digits:=100: evalf(1/404); # _Wesley Ivan Hurt_, Jul 10 2016
%t A021408 Join[{0,0},RealDigits[1/404,10,120][[1]]] (* or *) PadRight[{0,0},120,{7,5,2,4}] (* _Harvey P. Dale_, May 18 2012 *)
%t A021408 CoefficientList[Series[x^2*(2 + 2*x + 5*x^2)/(1 - x + x^2 - x^3), {x, 0, 30}], x] (* _Wesley Ivan Hurt_, Jul 10 2016 *)
%o A021408 (Magma) [0,0] cat &cat [[2, 4, 7, 5]^^30]; // _Wesley Ivan Hurt_, Jul 10 2016
%K A021408 nonn,cons,easy
%O A021408 0,3
%A A021408 _N. J. A. Sloane_