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 A165151 #15 Mar 21 2023 18:34:58 %S A165151 1,13,157,1825,20761,233173,2598517,28818985,318655921,3516744733, %T A165151 38764899277,426978842545,4700721921481,51735623710693, %U A165151 569285638838437,6263498473368505,68907978330073441,758054227491947053,8339061763439391997,91732936225029132865,1009085096265691207801 %N A165151 a(n) = (3*11^n - 7^n)/2. %C A165151 Binomial transform of A165150. Inverse binomial transform of A165152. %H A165151 Vincenzo Librandi, <a href="/A165151/b165151.txt">Table of n, a(n) for n = 0..200</a> %H A165151 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (18,-77). %F A165151 a(n) = 18*a(n-1) - 77*a(n-2) for n > 1; a(0) = 1, a(1) = 13. %F A165151 G.f.: (1 - 5*x)/((1 - 7*x)*(1 - 11*x)). %F A165151 E.g.f.: exp(7*x)*(3*exp(4*x) - 1)/2. - _Stefano Spezia_, Mar 21 2023 %t A165151 Table[(3 11^n-7^n)/2,{n,0,20}] (* or *) LinearRecurrence[{18,-77},{1,13},20] (* _Harvey P. Dale_, Jan 28 2012 *) %o A165151 (Magma) [ (3*11^n-7^n)/2: n in [0..17] ]; %Y A165151 Cf. A165150, A165152. %K A165151 nonn,easy %O A165151 0,2 %A A165151 _Klaus Brockhaus_, Sep 15 2009