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 A169722 #27 Feb 18 2024 03:33:07 %S A169722 1,22,145,715,3151,13207,54055,218695,879751,3528967,14135815, %T A169722 56583175,226412551,905809927,3623559175,14494875655,57980780551, %U A169722 231925678087,927707824135,3710841520135,14843386527751,59373587005447,237494429810695,949977882820615 %N A169722 a(n) = (3*2^(n-1)-1)*(18*2^(n-1)-7). %H A169722 Vincenzo Librandi, <a href="/A169722/b169722.txt">Table of n, a(n) for n = 0..1000</a> %H A169722 Alice V. Kleeva, <a href="/A169722/a169722a.jpg">Grid for this sequence</a> %H A169722 Alice V. Kleeva, <a href="/A169722/a169722b.jpg">Illustration of initial terms</a> %H A169722 Robert Munafo, <a href="http://www.mrob.com/pub/math/seq-a169720.html">Sequence A169720, and two others by Alice V. Kleeva</a> %H A169722 Robert Munafo, <a href="/A169720/a169720.pdf">Sequence A169720, and two others by Alice V. Kleeva</a> [Cached copy, in pdf format, included with permission] %H A169722 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (7,-14,8). %F A169722 G.f.: (1+15*x+5*x^2)/(1-7*x+14*x^2-8*x^3). - _Bruno Berselli_, Dec 04 2012 %F A169722 a(n) = 7*a(n-1)-14*a(n-2)+8*a(n-3). - _Vincenzo Librandi_, Dec 04 2012 %t A169722 LinearRecurrence[{7, -14, 8}, {1, 22, 145}, 30] (* _Vincenzo Librandi_, Dec 04 2012 *) %o A169722 (Magma) I:=[1,22,145]; [n le 3 select I[n] else 7*Self(n-1)-14*Self(n-2)+8*Self(n-3): n in [1..30]]; // _Vincenzo Librandi_, Dec 04 2012 %o A169722 (Maxima) makelist(coeff(taylor((1+15*x+5*x^2)/(1-7*x+14*x^2-8*x^3), x, 0, n), x, n), n, 0, 23); /* _Bruno Berselli_, Dec 04 2012 */ %Y A169722 Cf. A169720-A169727, A033484. %K A169722 nonn,easy %O A169722 0,2 %A A169722 Alice V. Kleeva (alice27353(AT)gmail.com), Jan 19 2010