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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.

A156627 a(n) = 4394*n - 1820.

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%I A156627 #23 Sep 08 2022 08:45:41
%S A156627 2574,6968,11362,15756,20150,24544,28938,33332,37726,42120,46514,
%T A156627 50908,55302,59696,64090,68484,72878,77272,81666,86060,90454,94848,
%U A156627 99242,103636,108030,112424,116818,121212,125606,130000,134394,138788,143182
%N A156627 a(n) = 4394*n - 1820.
%C A156627 The identity (57122*n^2 - 47320*n + 9801)^2 - (169*n^2 - 140*n + 29)*(4394*n - 1820)^2 = 1 can be written as A156721(n)^2 - A156639(n)*a(n)^2 = 1.
%H A156627 Vincenzo Librandi, <a href="/A156627/b156627.txt">Table of n, a(n) for n = 1..10000</a>
%H A156627 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A156627 G.f.: x*(2574 + 1820*x)/(1 - x)^2.
%F A156627 a(n) = 2*a(n-1) -a(n-2).
%t A156627 LinearRecurrence[{2, -1}, {2574, 6968}, 40]
%o A156627 (Magma) I:=[2574,6968]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
%o A156627 (PARI)  a(n)=4394*n-1820 \\ _Charles R Greathouse IV_, Dec 23 2011
%Y A156627 Cf. A156639, A156718, A156721.
%K A156627 nonn,easy
%O A156627 1,1
%A A156627 _Vincenzo Librandi_, Feb 15 2009