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, 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

------------------------------------
....|1|2|.3.|..4..|
i=4: 1 2 1 2 1 2 1 is a subsequence
....|..4..|.3.|2|1|
------------------------------------
....|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|
------------------------------------

Crossrefs

Sequence in context: A163495 A060709 A035222 * A276729 A257629 A143331

Adjacent sequences: A136433 A136434 A136435 * A136437 A136438 A136439

Keyword

easy,nonn,tabl

Author

Jonas Wallgren, Apr 02 2008

Status

approved