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A247390
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Base-n state complexity of partitioned deterministic finite automaton (PDFA) for the periodic sequence (12345678910)*.
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8
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41, 40, 21, 11, 11, 40, 41, 20, 11, 10, 41, 40, 21, 11, 11, 40, 41, 20, 11, 10, 41, 40, 21, 11, 11, 40, 41, 20, 11, 10, 41, 40, 21, 11, 11, 40, 41, 20, 11, 10, 41, 40, 21, 11, 11, 40, 41, 20, 11, 10, 41, 40, 21, 11, 11, 40, 41, 20, 11, 10, 41, 40, 21, 11, 11, 40
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OFFSET
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2,1
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LINKS
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Table of n, a(n) for n=2..67.
Klaus Sutner and Sam Tetruashvili, Inferring automatic sequences (see table on the p. 5).
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FORMULA
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G.f.: x^2*(41 + 40*x + 21*x^2 + 11*x^3 + 11*x^4 + 40*x^5 + 41*x^6 + 20*x^7 + 11*x^8 + 10*x^9) / (1-x^10).
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MATHEMATICA
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CoefficientList[Series [(41 + 40 x + 21 x^2 + 11 x^3 + 11 x^4 + 40 x^5 + 41 x^6 + 20 x^7 + 11 x^8 + 10 x^9)/(1 - x^10), {x, 0, 40}], x]
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PROG
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(MAGMA) &cat[[41, 40, 21, 11, 11, 40, 41, 20, 11, 10]: n in [0..10]];
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CROSSREFS
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Cf. A176059, A217515 - A217518, A247387.
Sequence in context: A217159 A291473 A155769 * A291501 A142719 A284043
Adjacent sequences: A247387 A247388 A247389 * A247391 A247392 A247393
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KEYWORD
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nonn,easy
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AUTHOR
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Vincenzo Librandi, Sep 16 2014
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STATUS
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approved
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