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 A369490 #14 Mar 04 2024 00:55:09 %S A369490 -1,17,11,113,179,857,1931,7073,18659,61097,173051,539633,1577939, %T A369490 4815737,14283371,43177793,128878019,387944777,1161212891,3488881553, %U A369490 10456158899,31389448217,94126401611,282463090913,847221500579,2542000046057 %N A369490 a(n) = 3^(n+1) + 2*(-2)^(n+1). %H A369490 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1, 6). %F A369490 a(n) = a(n-1) + 6*a(n-2); a(0) = -1, a(1) = 17. %F A369490 G.f.: (18*x-1)/((1+2*x)*(1-3*x)). %F A369490 a(2*n) = A003063(2*n+2). %F A369490 a(2*n+1) = A085279(2*n+3). %F A369490 a(n) = 18*A015441(n) - A015441(n+1). %t A369490 LinearRecurrence[{1,6},{-1,17},26] (* _James C. McMahon_, Jan 30 2024 *) %o A369490 (Python) %o A369490 def A369490(n): return 3**(n+1)+(1<<n+2 if n&1 else -(1<<n+2)) # _Chai Wah Wu_, Feb 25 2024 %Y A369490 Cf. A000079, A000244, A003063, A015441, A085279. %K A369490 sign,easy %O A369490 0,2 %A A369490 _Philippe Deléham_, Jan 24 2024