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 A110210 #16 Jan 20 2025 08:38:36 %S A110210 -1,1,-5,19,-89,415,-1961,9271,-43865,207559,-982169,4647655, %T A110210 -21992921,104071591,-492472025,2330402599,-11027583449,52183085095, %U A110210 -246933009881,1168499548711,-5529399232985,26165398105639,-123815993235929,585903570781735,-2772525465274841 %N A110210 a(n+3) = 6*a(n) - 5*a(n+2), a(0) = -1, a(1) = 1, a(2) = -5. %H A110210 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (-5,0,6). %F A110210 Superseeker finds: a(n+1) - a(n) = ((-1)^n)*A094433(n+2); a(n+2) - a(n) = ((-1)^(n+1))*A086405(n+1). %F A110210 G.f.: (4*x+1)/(6*x^3-5*x-1). - _Harvey P. Dale_, Nov 09 2014 %p A110210 seriestolist(series((1+4*x)/((x-1)*(6*x^2+6*x+1)), x=0,25)); %t A110210 LinearRecurrence[{-5,0,6},{-1,1,-5},30] (* or *) CoefficientList[ Series[ (1+4*x)/(-1-5*x+6*x^3),{x,0,30}],x] (* _Harvey P. Dale_, Nov 09 2014 *) %Y A110210 Cf. A086405, A094433, A110211, A110212, A110213. %K A110210 easy,sign %O A110210 0,3 %A A110210 _Creighton Dement_, Jul 16 2005