

A145652


a(1)=1. a(n) = the largest integer such that the finite sequence (a(n1),a(n2),...a(na(n))) occurs somewhere as a subsequence in the finite sequence (a(1),a(2),...,a(n1)).


1



1, 1, 2, 1, 3, 1, 3, 3, 2, 1, 2, 3, 5, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 2, 3, 2, 3
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OFFSET

1,3


COMMENTS

a(n+12) = a(n) for all n >= 14.


LINKS

Table of n, a(n) for n=1..105.
"Hagman", Sci Math Thread


EXAMPLE

The subsequence of terms a(27) through a(29) in reversed order is (a(29),a(28),a(27)) = (3,3,2). This occurs in the first 29 terms of sequence A145652 like so: 1,1,2,1,3,1,(3,3,2),1,2,3,5,1,1,2,2,2,3,2,2,5,1,1,2,2,2,3,3. On the other hand, the subsequence of terms a(26) to a(29) in reversed order, (3,3,2,2) does not occur anywhere among the first 29 terms of sequence A145652. Since there are three terms in (3,3,2), then a(30) = 3.


CROSSREFS

Sequence in context: A349918 A244797 A308659 * A111248 A100714 A339364
Adjacent sequences: A145649 A145650 A145651 * A145653 A145654 A145655


KEYWORD

nonn


AUTHOR

Leroy Quet, Oct 15 2008, corrected Oct 20 2008


STATUS

approved



