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 A083232 #13 Sep 08 2022 08:45:10 %S A083232 1,5,37,257,1801,12605,88237,617657,4323601,30265205,211856437, %T A083232 1482995057,10380965401,72666757805,508667304637,3560671132457, %U A083232 24924697927201,174472885490405,1221310198432837,8549171389029857 %N A083232 a(n) = (3*7^n+(-1)^n)/4. %C A083232 Binomial transform of A053524 (without leading zero). %H A083232 Vincenzo Librandi, <a href="/A083232/b083232.txt">Table of n, a(n) for n = 0..300</a> %H A083232 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,7). %F A083232 a(n) = (3*7^n+(-1)^n)/4. %F A083232 G.f.: (1-x)/((1-7*x)*(1+x)). %F A083232 E.g.f.: (3*exp(7*x)+exp(-x))/4 %o A083232 (Magma) [(3*7^n+(-1)^n)/4: n in [0..25]]; // _Vincenzo Librandi_, Jun 29 2011 %o A083232 (PARI) Vec((1-x)/((1-7*x)*(1+x)) + O(x^40)) \\ _Andrew Howroyd_, Feb 16 2018 %Y A083232 Cf. A083233. %K A083232 easy,nonn %O A083232 0,2 %A A083232 _Paul Barry_, Apr 23 2003