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 A162356 #7 Sep 08 2022 08:45:46 %S A162356 2,9,44,226,1192,6372,34288,185096,1000736,5414544,29306048,158644768, %T A162356 858873472,4649961024,25175459584,136304222336,737977344512, %U A162356 3995559643392,21632794323968,117124519584256,634137036138496 %N A162356 a(n) = 8*a(n-1)-14*a(n-2) for n>1; a(0) = 2; a(1) = 9. %C A162356 Fourth binomial transform of A135530. %H A162356 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,-14). %F A162356 G.f.: (2-7*x)/(1-8*x+14*x^2). %F A162356 a(n) = ((4+sqrt(2))^(n+1)+(4-sqrt(2))^(n+1))/4. %o A162356 (Magma) Z<x>:=PolynomialRing(Integers()); N<r>:=NumberField(x^2-2); S:=[ ((4+r)^(n+1)+(4-r)^(n+1))/4: n in [0..20] ]; [ Integers()!S[j]: j in [1..#S] ]; %Y A162356 Cf. A135530, A161944 (third binomial transform of A135530), A161947 (fifth binomial transform of A135530). %K A162356 nonn,easy %O A162356 0,1 %A A162356 _Klaus Brockhaus_, Jul 01 2009