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 A005524 k-arcs on elliptic curves over GF(q). (Formerly M0475) 0
 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 16, 18, 19, 20, 21, 22, 25, 27, 28, 30, 32, 34, 37, 38, 40, 42, 44, 45, 48, 50, 51, 54, 58, 61, 62, 64, 65, 67, 72, 74, 75, 75 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS The number 235 is the first counterexample to Benoit Cloitre's conjecture: 235 = ((1+1)*(1+1)+1)*((1+1)*((1+1)*((1+1)*((1+1)*(1+1)+1)+1)+1)+1) - using 5*47 - needs 19 1's 235 = (1+1)*(1+1+1)*(1+1+1)*((1+1+1)*(1+1)*(1+1)+1) - using 2*3*3*13+1 - only needs 17 1's. - Ed Pegg Jr, Apr 14 2004 REFERENCES J. W. P. Hirschfeld, Linear codes and algebraic curves, pp. 35-53 of F. C. Holroyd and R. J. Wilson, editors, Geometrical Combinatorics. Pitman, Boston, 1984. See M_q(1) on page 51. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS E T Pegg, Integer Complexity. Mathematica Information Center, Item 5175, for full code. CROSSREFS Cf. A000961 (values of q). Sequence in context: A239348 A191881 A306424 * A191890 A247814 A082918 Adjacent sequences:  A005521 A005522 A005523 * A005525 A005526 A005527 KEYWORD nonn,more AUTHOR STATUS approved

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Last modified September 28 22:03 EDT 2020. Contains 337417 sequences. (Running on oeis4.)