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 A217518 Base-n state complexity of partitioned deterministic finite automaton (PDFA) for the periodic sequence (123456)*. 15
 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13, 7, 7, 12, 7, 6, 13 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 LINKS Klaus Sutner and Sam Tetruashvili, Inferring automatic sequences Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1). FORMULA Periodic with period length 6. G.f.: x^2(13 + 7*x + 7*x^2 + 12x^3 + 7x^4 + 6x^5)/((1 - x^6)). - Vincenzo Librandi, Nov 18 2012 MATHEMATICA CoefficientList[Series[(13 + 7*x + 7*x^2 + 12x^3 + 7x^4 + 6x^5)/((1 - x^6)), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 18 2012 *) LinearRecurrence[{0, 0, 0, 0, 0, 1}, {13, 7, 7, 12, 7, 6}, 80] (* or *) PadRight[ {}, 80, {13, 7, 7, 12, 7, 6}] (* Harvey P. Dale, Jul 19 2016 *) PROG (MAGMA) &cat[[13, 7, 7, 12, 7, 6]: n in [0..30]]; // Vincenzo Librandi, Nov 18 2012 (PARI) a(n)=[7, 6, 13, 7, 7, 12][n%6+1] \\ Charles R Greathouse IV, Nov 18 2012 CROSSREFS Sequence in context: A324279 A222464 A095389 * A257928 A206611 A298257 Adjacent sequences:  A217515 A217516 A217517 * A217519 A217520 A217521 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, Oct 07 2012 STATUS approved

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Last modified October 23 16:46 EDT 2019. Contains 328373 sequences. (Running on oeis4.)