%I #4 Apr 04 2015 21:46:57
%S 1,3,6,10,20,32,112,184,232,268,364,508,2308,3028,5332,8212,46372,
%T 75892,106852,116212,191812,222052,265252,298372,315652,328612,361012,
%U 401332,444532,507172,635332,706612,787252,943492,1147252,1210612,1270372
%N Lexicographically earliest infinite sequence such that (a(i)-a(j)) mod (a(k)-a(j)) is nonzero whenever i,j,k are disjoint.
%C First infinite picket-fence sequence: a picket fence extended from any pair in the set encounters no other member of the set.
%C Terms in this sequence gradually become restricted in increasing moduli. From a(7) on, all terms are == 4 (mod 12).
%e From the initial 1,3, no further terms can be odd. After 3,6, no further multiples of 3 are possible. After 1,3,6, an 8 would be legal, except that no further extension of the sequence is then possible.
%Y Cf. A178758.
%K nonn
%O 1,2
%A _Franklin T. Adams-Watters_, Jun 18 2010
%E More terms from _Jon E. Schoenfield_, Jun 25 2010
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