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 A084134 #12 Oct 13 2022 17:32:12 %S A084134 1,4,26,184,1316,9424,67496,483424,3462416,24798784,177615776, %T A084134 1272133504,9111373376,65258185984,467397247616,3347628865024, %U A084134 23976647434496,171727406285824,1229959365679616,8809310487721984 %N A084134 a(n) = 8*a(n-1) - 6*a(n-2), a(0) = 1, a(1) = 4. %C A084134 Binomial transform of A005667. %H A084134 G. C. Greubel, <a href="/A084134/b084134.txt">Table of n, a(n) for n = 0..1000</a> %H A084134 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,-6). %F A084134 a(n) = (4+sqrt(10))^n/2 + (4-sqrt(10))^n/2. %F A084134 G.f.: (1-4*x)/(1 - 8*x + 6*x^2). %F A084134 E.g.f.: exp(4*x)*cosh(sqrt(10)*x). %t A084134 LinearRecurrence[{8,-6},{1,4},30] (* _Harvey P. Dale_, Nov 30 2011 *) %o A084134 (Magma) [n le 2 select 4^(n-1) else 8*Self(n-1) -6*Self(n-2): n in [1..40]]; // _G. C. Greubel_, Oct 13 2022 %o A084134 (SageMath) %o A084134 A084134=BinaryRecurrenceSequence(8,-6,1,4) %o A084134 [A084134(n) for n in range(41)] # _G. C. Greubel_, Oct 13 2022 %Y A084134 Cf. A005667, A084135. %K A084134 easy,nonn %O A084134 0,2 %A A084134 _Paul Barry_, May 16 2003