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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

Table of n, a(n) for n=2..45.

E T Pegg, Integer Complexity.

Mathematica Information Center, Item 5175, for full code.

CROSSREFS

Cf. A000961 (values of q).

Sequence in context: A154314 A239348 A191881 * A191890 A247814 A082918

Adjacent sequences:  A005521 A005522 A005523 * A005525 A005526 A005527

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 10 23:07 EST 2016. Contains 279021 sequences.