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 A189742 #31 Feb 18 2024 03:35:17 %S A189742 4,3,24,105,492,2283,10608,49281,228948,1063635,4941384,22956441, %T A189742 106649916,495468987,2301825696,10693709745,49680316068,230802393507, %U A189742 1072250522232,4981409269449,23142388644492,107513782386315,499482295478736,2320470529073889 %N A189742 a(1)=4, a(2)=3, a(n) = 4*a(n-1) + 3*a(n-2). %H A189742 Vincenzo Librandi, <a href="/A189742/b189742.txt">Table of n, a(n) for n = 1..100</a> %H A189742 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (4,3). %F A189742 G.f.: x*(4-13*x)/(1-4*x-3*x^2). - _Bruno Berselli_, May 24 2011 %t A189742 LinearRecurrence[{4,3},{4,3},40] %o A189742 (Maxima) a[1]:4$ a[2]:3$ a[n]:=4*a[n-1]+3*a[n-2]$ makelist(a[n], n, 1, 24); /* _Bruno Berselli_, May 24 2011 */ %Y A189742 Cf. A000045, A000079, A105476, A159612, A080040, A135522, A103435, A189732, A189734, A189735, A189736, A189737, A189738, A189739, A189741, A189743, A189744, A189745, A189746, A189747, A189748, A189749. %K A189742 nonn,easy %O A189742 1,1 %A A189742 _Harvey P. Dale_, Apr 26 2011