cp's OEIS Frontend

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.

%I A136436 #13 Oct 24 2024 01:15:39
%S A136436 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,
%T A136436 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,
%U A136436 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
%N 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.
%H A136436 Jonas Wallgren, Apr 02 2008, <a href="/A136436/b136436.txt">Table of n, a(n) for n = 1..212</a>
%H A136436 Nicholas John Bizzell-Browning, <a href="https://bura.brunel.ac.uk/handle/2438/29960">LIE scales: Composing with scales of linear intervallic expansion</a>, Ph. D. Thesis, Brunel Univ. (UK, 2024). See pp. 65, 149, 155.
%e A136436 ------------------------------------
%e A136436 ....|1|2|.3.|..4..|
%e A136436 i=4: 1 2 1 2 1 2 1 is a subsequence
%e A136436 ....|..4..|.3.|2|1|
%e A136436 ------------------------------------
%e A136436 ....|1|2|3|4|.5.|..6..|
%e A136436 i=6: 1 2 3 4 1 4 3 2 1 is a subsequence
%e A136436 ....|..6..|.5.|4|3|2|1|
%e A136436 ------------------------------------
%K A136436 easy,nonn,tabl
%O A136436 1,6
%A A136436 _Jonas Wallgren_, Apr 02 2008