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A258136
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Lexicographically earliest sequence of odd positive integers such that the terms and their absolute first differences are all distinct.
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2
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1, 3, 7, 13, 5, 15, 27, 9, 23, 39, 11, 31, 53, 17, 41, 67, 19, 49, 81, 21, 55, 93, 25, 65, 107, 29, 73, 119, 33, 83, 135, 35, 89, 145, 37, 95, 157, 43, 109, 45, 115, 187, 47, 121, 197, 51, 131, 213, 57, 141, 229, 59, 149, 241, 61, 155, 251, 63, 161, 263, 69
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history;
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OFFSET
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1,2
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 1..1000
E. Angelini, Derangements on the SeqFan list, May 21 2015
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FORMULA
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a(n) = 2*A081145(n)-1.
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MAPLE
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b:= proc() false end:
a:= proc(n) option remember; local k;
if n=1 then b(1):= true; 1
else a(n-1); for k while b(k) or
b(abs(a(n-1)-k)) by 2 do od;
b(k), b(abs(a(n-1)-k)):= true$2; k
fi
end:
seq(a(n), n=1..101);
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CROSSREFS
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Cf. A081145, A258137 (absolute first differences), A257941, A257944.
Sequence in context: A096856 A108154 A010260 * A209387 A128156 A108768
Adjacent sequences: A258133 A258134 A258135 * A258137 A258138 A258139
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KEYWORD
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nonn
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AUTHOR
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Eric Angelini and Alois P. Heinz, May 21 2015
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STATUS
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approved
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