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A330402
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Lexicographically earliest sequence of distinct positive terms with an associate sequence t such that t(0) = 0, and for any n > 0, at least one of t(n-1) - a(n) or t(n-1) + a(n) is a prime number; in case t(n-1) - a(n) is a prime number, set t(n) = t(n-1) - a(n), otherwise set t(n) = t(n-1) + a(n).
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3
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2, 1, 4, 5, 3, 6, 8, 10, 11, 9, 12, 14, 16, 18, 24, 20, 22, 28, 30, 26, 32, 34, 38, 36, 42, 40, 46, 44, 50, 45, 15, 54, 48, 21, 17, 52, 56, 60, 62, 66, 58, 70, 64, 78, 68, 27, 29, 72, 74, 80, 82, 84, 76, 96, 86, 39, 35, 90, 98, 102, 88, 41, 51, 104, 94, 100
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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This sequence is a variant of A330401.
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LINKS
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EXAMPLE
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The first terms, alongside t(n), are:
n a(n) t(n)
-- ---- ----
0 N/A 0
1 2 2
2 1 3
3 4 7
4 5 2
5 3 5
6 6 11
7 8 3
8 10 13
9 11 2
10 9 11
11 12 23
12 14 37
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PROG
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(PARI) See Links section.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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