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Integers in the range [1, 425] not expressible as a difference of the unique optimal Golomb ruler of order 24. See A130444.
3

%I #6 Jul 20 2024 20:08:20

%S 128,137,150,159,161,165,166,169,178,183,185,187,188,194,200,202,206,

%T 207,209,218,221,222,223,225,227,230,233,236,237,238,247,250,254,257,

%U 258,259,260,264,265,266,267,268,270,272,275,276,279,280,282,284,290

%N Integers in the range [1, 425] not expressible as a difference of the unique optimal Golomb ruler of order 24. See A130444.

%C This sequence has exactly 149 terms. The union of this with A130446 yields all integers in the range [1,425].

%H Joseph Biberstine (jrbibers(AT)indiana.edu), May 26 2007, <a href="/A130445/b130445.txt">Table of n, a(n) for n = 1..149</a>

%e 128 is a term of this sequence between there do not exist integers 1 <= i < j <= 425 such that A130444(j) - A130444(i) = 128.

%t A130444 = {0, 9, 33, 37, 38, 97, 122, 129, 140, 142, 152, 191, 205, 208, 252, 278, 286, 326, 332, 353, 368, 384, 403, 425}; Complement[Range[Last[A130444]], Sort[(A130444[[ #[[1]]]] - A130444[[ #[[2]]]]) & /@ Select[Tuples[Range[24], 2], #[[1]] > #[[2]] &]]]

%Y Cf. A130444: Main entry. A130446: Integers in [1, 425] expressible as a difference from A130444.

%K fini,nonn

%O 1,1

%A Joseph Biberstine (jrbibers(AT)indiana.edu), May 26 2007