[seqfan] Re: Noninterfering picket fence seeds

[Ron Hardin]

I don't think they're real tabl material because the solutions are only lexicographically least of (usually) many.

 rhhardin at mindspring.com
rhhardin at att.net (either)



----- Original Message ----
> From: "franktaw at netscape.net" <franktaw at netscape.net>
> To: seqfan at list.seqfan.eu
> Sent: Thu, June 10, 2010 1:50:30 PM
> Subject: [seqfan] Re: Noninterfering picket fence seeds
> 
> I think you ought to also submit those solutions as a tabl 
> sequence.

Franklin T. Adams-Watters

-----Original 
> Message-----
From: Ron Hardin <
> href="mailto:rhhardin at att.net">rhhardin at att.net>

Final version, I 
> guess.

%I A000001
%S A000001 
> 
1,2,6,8,18,21,33,38,54,66,83,89,106,124,150,166,190,208,232,250
%N 
> A000001 Smallest range 1..a(n) that permits n integers x() in 
1..a(n) 
> to
exist with (x(i)-x(j)) mod (x(k)-x(j)) nonzero whenever i,j,k are 
> 
disjoint.
%C A000001 Maximal non-interfering picket-fence seeds: a picket 
> fence 
extended
from any pair in the set encounters no other member of the 
> set
%e A000001 a(1) 1
%e A000001 a(2) 1 2
%e A000001 a(3) 1 3 6
%e 
> A000001 a(4) 1 3 6 8
%e A000001 a(5) 1 4 8 14 18
%e A000001 a(6) 1 4 8 14 
> 18 21
%e A000001 a(7) 1 4 8 14 23 30 33
%e A000001 a(8) 1 5 11 15 24 28 34 
> 38
%e A000001 a(9) 1 10 16 20 23 27 33 42 54
%e A000001 a(10) 1 7 11 17 26 
> 32 40 52 60 66
%e A000001 a(11) 1 7 15 21 30 36 46 58 68 74 83
%e A000001 
> a(12) 1 7 15 21 30 36 46 58 68 74 83 89
%e A000001 a(13) 1 9 15 24 30 40 52 
> 67 77 83 92 98 106
%e A000001 a(14) 1 10 22 30 36 51 57 68 74 89 95 103 115 
> 124
%e A000001 a(15) 1 7 22 28 36 48 56 69 81 98 107 113 122 138 150
%e 
> A000001 a(16) 1 7 15 27 45 59 65 74 93 102 108 122 140 152 160 166
%e A000001 
> a(17) 1 13 29 35 44 51 63 81 92 110 122 129 138 144 160 172 
190
%e 
> A000001 a(18) 1 19 31 47 53 62 69 81 99 110 128 140 147 156 162 178 
190 
> 208
%e A000001 a(19) 1 13 24 33 45 63 75 84 100 115 131 140 152 170 182 191 
> 
202 214
232
%e A000001 a(20) 1 19 31 42 51 63 81 93 102 118 133 149 
> 158 170 188 200 
209 220
232 250
%e A000001 (lexicographically smallest 
> solutions)
%K A000001 nonn
%O A000001 1,2





> ymailto="mailto:rhhardin at mindspring.com" 
> href="mailto:rhhardin at mindspring.com">rhhardin at mindspring.com

> ymailto="mailto:rhhardin at att.net" 
> href="mailto:rhhardin at att.net">rhhardin at att.net (either)
  
> 


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