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 A051930 #28 Jul 02 2025 16:01:58
%S A051930 6,1,31,136,731,3771,19606,101781,528531,2744416,14250631,73997551,
%T A051930 384238406,1995189561,10360186231,53796120696,279340789731,
%U A051930 1450500069331,7531841136406,39109705751341,203080369893131,1054511555216976,5475638145978031,28432702285107111
%N A051930 Number of independent sets of vertices in graph K_5 X C_n (n > 2).
%H A051930 Vincenzo Librandi, <a href="/A051930/b051930.txt">Table of n, a(n) for n = 0..1000</a>
%H A051930 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4,6,1).
%F A051930 a(n) = 4*a(n-1) + 6*a(n-2) + a(n-3).
%F A051930 G.f.: (6 - 23*x - 9*x^2) / ((1 + x)*(1 - 5*x - x^2)). - _Colin Barker_, May 22 2012
%F A051930 From _Colin Barker_, Nov 24 2017: (Start)
%F A051930 a(n) = ((5-sqrt(29))/2)^n + ((5+sqrt(29))/2)^n + 4 for n even.
%F A051930 a(n) = ((5-sqrt(29))/2)^n + ((5+sqrt(29))/2)^n - 4 for n odd.
%F A051930 (End)
%t A051930 LinearRecurrence[{4,6,1},{6,1,31},30] (* _Vincenzo Librandi_, Jun 17 2012 *)
%o A051930 (Magma) I:=[6, 1, 31]; [n le 3 select I[n] else 4*Self(n-1)+6*Self(n-2)+Self(n-3): n in [1..30]]; // _Vincenzo Librandi_, Jun 17 2012
%o A051930 (PARI) Vec((6 - 23*x - 9*x^2) / ((1 + x)*(1 - 5*x - x^2)) + O(x^40)) \\ _Colin Barker_, Nov 24 2017
%Y A051930 Row 5 of A287376.
%K A051930 easy,nonn
%O A051930 0,1
%A A051930 _Stephen G Penrice_, Dec 19 1999
%E A051930 More terms from _James Sellers_, Dec 20 1999