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 A162466 #8 Sep 17 2020 13:54:51 %S A162466 1,8,12,96,144,1152,1728,13824,20736,165888,248832,1990656,2985984, %T A162466 23887872,35831808,286654464,429981696,3439853568,5159780352, %U A162466 41278242816,61917364224,495338913792,743008370688,5944066965504 %N A162466 a(n) = 12*a(n-2) for n > 2; a(1) = 1, a(2) = 8. %C A162466 Eighth binomial transform is A161729. %H A162466 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,12). %F A162466 a(n) = (5-(-1)^n)*2^(1/2 *(2*n-3+(-1)^n))*3^(1/4*(2*n-5+(-1)^n)). %F A162466 G.f.: x*(1+8*x)/(1-12*x^2). %F A162466 a(n) = 2^(n-1)*A074324(n). - _M. F. Hasler_, Dec 03 2014 %t A162466 LinearRecurrence[{0,12},{1,8},30] (* _Harvey P. Dale_, Sep 17 2020 *) %o A162466 (PARI) {m=24; v=concat([1, 8], vector(m-2)); for(n=3, m, v[n]=12*v[n-2]); v} %o A162466 (PARI) Vec(x*(1+8*x)/(1-12*x^2)+O(x^29)) \\ _M. F. Hasler_, Dec 03 2014 %Y A162466 Cf. A161729, A161728, A162436, A162272, A074324. %K A162466 nonn %O A162466 1,2 %A A162466 _Klaus Brockhaus_, Jul 04 2009 %E A162466 G.f. and comment corrected, formula added by _Klaus Brockhaus_, Sep 18 2009