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 A134314 #17 Apr 19 2023 00:32:28
%S A134314 -8,8,-8,16,-24,24,-24,32,-40,40,-40,48,-56,56,-56,64,-72,72,-72,80,
%T A134314 -88,88,-88,96,-104,104,-104,112,-120,120,-120,128,-136,136,-136,144,
%U A134314 -152,152,-152,160,-168,168,-168,176,-184,184,-184,192,-200,200,-200,208
%N A134314 First differences of A134429.
%H A134314 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (-2,-2,-2,-1).
%F A134314 From _R. J. Mathar_, Feb 07 2009: (Start)
%F A134314 a(n)= -2*a(n-1)-2*a(n-2)-2*a(n-3)-a(n-4) = -8*(-1)^n*A004525(n+1).
%F A134314 G.f.: -8*(1+x+x^2)/((1+x^2)*(1+x)^2). (End)
%p A134314 A134429 := proc(n) npr := floor(n/4) ; if (n mod 4 =0) or (n mod 4 = 2) then 8*npr+3 ; else -8*npr-5 ; fi; end: A134314 := proc(n) A134429(n+1)-A134429(n) ; end: seq(A134314(n),n=0..80) ; # _R. J. Mathar_, Feb 07 2009
%t A134314 LinearRecurrence[{-2, -2, -2, -1}, {-8, 8, -8, 16}, 52] (* _Jean-François Alcover_, Mar 31 2020 *)
%K A134314 sign,easy,less
%O A134314 0,1
%A A134314 _Paul Curtz_, Jan 30 2008
%E A134314 Edited by _N. J. A. Sloane_, Mar 23 2008
%E A134314 More terms from _R. J. Mathar_, Feb 07 2009