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A255709 No three points (i,a(i)), (j,a(j)), (k,a(k)) are collinear and all values distinct, for n = 0,1,2,... the value of a(n) is chosen to be m or -m (in this order) for the smallest m>=0 satisfying the condition. 3
0, 1, -1, 2, 3, -2, -5, -3, 4, -6, 6, -7, -4, 5, 12, 16, 7, 8, -10, -8, 9, 19, 14, -12, -14, -9, 21, 10, -11, -15, 17, 15, -19, 13, -22, -13, -16, -24, 11, 18, 22, -18, 25, 23, -17, 24, 40, -21, -38, 20, -29, 36, -30, -20, 32, -34, 26, 43, -23, 37, -26, 33 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..20000

MAPLE

b:= proc() true end:

a:= proc(n) option remember; local i, j, k, t, ok;

      for t from 0 do for k in [t, -t] do ok:=b(k);

        for j from n-1 to 1 by -1 while ok do

          for i from j-1 to 0 by -1 while ok do

            ok:= (n-j)*(a(j)-a(i))<>(j-i)*(k-a(j))

        od od; if ok then b(k):=false; return k fi

      od od

    end:

seq(a(n), n=0..60);

CROSSREFS

Cf. A005836, A179040, A231334, A236266, A236335, A255708.

Sequence in context: A111076 A162398 A131470 * A285512 A232928 A323021

Adjacent sequences:  A255706 A255707 A255708 * A255710 A255711 A255712

KEYWORD

sign,look

AUTHOR

Alois P. Heinz, Mar 03 2015

STATUS

approved

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Last modified July 26 17:37 EDT 2021. Contains 346294 sequences. (Running on oeis4.)