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A336514
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a(1) = 1, and for any n > 0, a(n+1) is the number of k in the range 1..n such that the decimal representation of a(k) appears as a substring in the decimal representation of a(n).
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5
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1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 11, 11, 12, 12, 13, 12, 14, 12, 15, 12, 16, 12, 17, 12, 18, 12, 19, 12, 20, 2, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 2, 10, 12, 30, 3, 3, 4, 3, 5, 3, 6, 3, 7, 3, 8, 3, 9, 3, 10, 13, 22, 11, 13, 23
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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COMMENTS
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This sequence is unbounded.
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LINKS
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EXAMPLE
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The first terms, alongside the corresponding k's, are:
n a(n) k's
-- ---- -----------
1 1 N/A
2 1 {1}
3 2 {1, 2}
4 1 {3}
5 3 {1, 2, 4}
6 1 {5}
7 4 {1, 2, 4, 6}
8 1 {7}
9 5 {1, 2, 4, 6, 8}
10 1 {9}
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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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AUTHOR
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STATUS
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approved
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