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 A247391 #22 Sep 08 2022 08:46:09 %S A247391 110,55,55,55,110,110,110,55,22,12,11,110,55,55,55,110,110,110,55,22, %T A247391 12,11,110,55,55,55,110,110,110,55,22,12,11,110,55,55,55,110,110,110, %U A247391 55,22,12,11,110,55,55,55,110,110,110,55,22,12,11,110,55,55,55 %N A247391 Base-n state complexity of partitioned deterministic finite automaton (PDFA) for the periodic sequence (1234567891011). %H A247391 Klaus Sutner and Sam Tetruashvili, <a href="http://www.cs.cmu.edu/~sutner/papers/auto-seq.pdf">Inferring automatic sequences</a> (see table on the p. 5). %H A247391 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,1). %F A247391 G.f.: x^2*(110 + 55*x + 55*x^2 + 55*x^3 + 110*x^4 + 110*x^5 + 110*x^6 + 55*x^7 + 22*x^8 + 12*x^9 + 11*x^10)/(1-x^11). %F A247391 a(n) = (1283*m^10 - 64570*m^9 + 1396065*m^8 - 16960020*m^7 + 127065939*m^6 - 605936100*m^5 + 1828078285*m^4 - 3335483030*m^3 + 3289569228*m^2 - 1288120680*m + 5443200)/453600 where m = (n mod 11). - _Luce ETIENNE_, Nov 04 2018 %t A247391 CoefficientList[Series[(110 + 55 x + 55 x^2 + 55 x^3 + 110 x^4 + 110 x^5 + 110 x^6 + 55 x^7 + 22 x^8 + 12 x^9 + 11 x^10)/(1-x^11), {x, 0, 60}], x] %o A247391 (Magma) &cat[[110,55,55,55,110,110,110,55,22,12,11]: n in [0..10]]; %Y A247391 Cf. A176059, A217515, A217516, A217517, A217518, A247387, A247390. %Y A247391 Cf. A010880. %K A247391 nonn,easy %O A247391 2,1 %A A247391 _Vincenzo Librandi_, Sep 17 2014