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 A247391 Base-n state complexity of partitioned deterministic finite automaton (PDFA) for the periodic sequence (1234567891011). 10
 110, 55, 55, 55, 110, 110, 110, 55, 22, 12, 11, 110, 55, 55, 55, 110, 110, 110, 55, 22, 12, 11, 110, 55, 55, 55, 110, 110, 110, 55, 22, 12, 11, 110, 55, 55, 55, 110, 110, 110, 55, 22, 12, 11, 110, 55, 55, 55, 110, 110, 110, 55, 22, 12, 11, 110, 55, 55, 55 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Klaus Sutner and Sam Tetruashvili, Inferring automatic sequences (see table on the p. 5). Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,1). FORMULA 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). 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 MATHEMATICA 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] PROG (Magma) &cat[[110, 55, 55, 55, 110, 110, 110, 55, 22, 12, 11]: n in [0..10]]; CROSSREFS Cf. A176059, A217515, A217516, A217517, A217518, A247387, A247390. Cf. A010880. Sequence in context: A087303 A336740 A045884 * A110736 A084292 A266849 Adjacent sequences: A247388 A247389 A247390 * A247392 A247393 A247394 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Sep 17 2014 STATUS approved

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Last modified February 7 22:10 EST 2023. Contains 360132 sequences. (Running on oeis4.)