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A136436
Concatenation of subsequences: for each i the sequence of integers such that (1) they can be grouped into terms having the sums 1,2,3,...,i; (2) they can be grouped into terms having the sums i,...,3,2,1; (3) they are as large as possible.
1
1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 3, 1, 2, 2, 1, 1, 2, 3, 4, 1, 4, 3, 2, 1, 1, 2, 3, 1, 3, 3, 2, 3, 3, 1, 3, 2, 1, 1, 2, 3, 2, 2, 5, 6, 5, 2, 2, 3, 2, 1, 1, 2, 3, 3, 1, 5, 2, 4, 3, 4, 2, 5, 1, 3, 3, 2, 1, 1, 2, 3, 4, 5, 4, 2, 6, 1, 6, 2, 4, 5, 4, 3, 2, 1, 1, 2, 3, 4, 1, 4, 6, 7, 2, 6, 2, 7
OFFSET
1,6
LINKS
Jonas Wallgren, Apr 02 2008, Table of n, a(n) for n = 1..212
Nicholas John Bizzell-Browning, LIE scales: Composing with scales of linear intervallic expansion, Ph. D. Thesis, Brunel Univ. (UK, 2024). See pp. 65, 149, 155.
EXAMPLE
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....|1|2|.3.|..4..|
i=4: 1 2 1 2 1 2 1 is a subsequence
....|..4..|.3.|2|1|
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....|1|2|3|4|.5.|..6..|
i=6: 1 2 3 4 1 4 3 2 1 is a subsequence
....|..6..|.5.|4|3|2|1|
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CROSSREFS
Sequence in context: A163495 A060709 A035222 * A276729 A257629 A143331
KEYWORD
easy,nonn,tabl
AUTHOR
Jonas Wallgren, Apr 02 2008
STATUS
approved