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A255708
No three points (i,a(i)), (j,a(j)), (k,a(k)) are collinear, 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, 0, 1, 1, -1, -1, 4, 2, 2, -3, -5, -2, -7, -2, 5, 3, 3, -5, -4, -4, 6, 5, -6, -3, -10, 11, -6, 4, 18, 11, 19, 7, 12, 12, 6, -13, 19, 7, -10, -7, -9, -14, 13, 23, -28, -8, -14, 9, 8, -22, -9, -8, 23, -11, 15, 22, 13, 8, -21, -13, -26, 9, -12, -12, -11, 40, 21
OFFSET
0,7
LINKS
MAPLE
a:= proc(n) option remember; local i, j, k, t, ok;
for t from 0 do for k in [t, -t] do ok:=true;
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 return k fi
od od
end:
seq(a(n), n=0..60);
CROSSREFS
KEYWORD
sign,look
AUTHOR
Alois P. Heinz, Mar 03 2015
STATUS
approved