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 A083300 #14 Sep 08 2022 08:45:10 %S A083300 1,5,41,269,1937,13397,94265,658397,4613153,32278949,225992009, %T A083300 1581825965,11073136049,77510889461,542579414873,3798046338173, %U A083300 26586353065025,186104385361733,1302730955812457,9119115915846221 %N A083300 a(n) = (4*7^n + (-3)^n)/5. %C A083300 Binomial transform of A083299. %H A083300 Vincenzo Librandi, <a href="/A083300/b083300.txt">Table of n, a(n) for n = 0..300</a> %H A083300 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,21) %F A083300 a(n) = (4*7^n + (-3)^n)/5. %F A083300 G.f.: (1+x)/((1-7*x)*(1+3*x)). %F A083300 E.g.f.: (4*exp(7*x) + exp(-3*x))/5. %o A083300 (Magma) [(4*7^n+(-3)^n)/5: n in [0..25]]; // _Vincenzo Librandi_, Jun 01 2011 %o A083300 (PARI) a(n)=(4*7^n+(-3)^n)/5 \\ _Charles R Greathouse IV_, Oct 07 2015 %Y A083300 Cf. A083301. %K A083300 easy,nonn %O A083300 0,2 %A A083300 _Paul Barry_, Apr 24 2003