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 A225396 #17 Aug 01 2015 10:41:45 %S A225396 1,1,2,3,5,8,13,21,34,55,88,142,229,369,595,959,1546,2492,4017,6475, %T A225396 10438,16826,27123,43722,70479,113611,183139,295217,475885,767119, %U A225396 1236583,1993351,3213249,5179704,8349597,13459412,21696349,34974155,56377758,90880011 %N A225396 Expansion of 1/(1 - x - x^2 + x^10 - x^12). %C A225396 Limiting ratio is 1.61198..., the largest real root of -1 + x^2 - x^10 - x^11 + x^12 = 0. %H A225396 Vincenzo Librandi, <a href="/A225396/b225396.txt">Table of n, a(n) for n = 0..1000</a> %H A225396 Roger L. Bagula, <a href="/A225396/a225396.txt">Demo file</a> %H A225396 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1). %F A225396 a(0)=1, a(1)=1, a(2)=2, a(3)=3, a(4)=5, a(5)=8, a(6)=13, a(7)=21, a(8)=34, a(9)=55, a(10)=88, a(11)=142, a(n)=a(n-1)+a(n-2)- a(n-10)+ a(n-12). - _Harvey P. Dale_, Apr 12 2014 %t A225396 CoefficientList[Series[1/(1 - x - x^2 + x^10 - x^12), {x, 0, 50}], x] %t A225396 LinearRecurrence[{1,1,0,0,0,0,0,0,0,-1,0,1},{1,1,2,3,5,8,13,21,34,55,88,142},50] (* _Harvey P. Dale_, Apr 12 2014 *) %Y A225396 Cf. A117791, A107293, A204631, A225393, A225394, A029826, A147660. %K A225396 nonn,easy %O A225396 0,3 %A A225396 _Roger L. Bagula_, May 06 2013