%I
%S 1,2,1,3,4,2,1,5,3,2,1,6,4,7,8,5,3,2,1,9,6,4,10,7,11,12,8,5,3,2,1,13,
%T 9,6,4,14,10,7,5,3,2,1,15,11,8,6,4,3,2,1,16,12,9,7,5,17,13,10,18,14,
%U 19,20,15,11,8,6,4,3,2,1,21,16,12,9,7,5,22,17,13,10,23,18,14,11,8,6,4,3,2,1
%N If the terms of this sequence are divided into groups, the lengths of which are the terms of this sequence, the kth term in a group is one greater than the kth term in the previous group with at least k terms or 1 if no such group exists.
%H Samuel B. Reid, <a href="/A334081/b334081.txt">Table of n, a(n) for n = 1..10000</a>
%H Samuel B. Reid, <a href="/A334081/a334081.py.txt">Python program for A334081</a>
%e 
%e n a(n) nth Group
%e 
%e 1 1 [1]
%e 2 2 [2,1]
%e 3 1 [3]
%e 4 3 [4,2,1]
%e 5 4 [5,3,2,1]
%e 6 2 [6,4]
%e 7 1 [7]
%e 8 5 [8,5,3,2,1]
%e 9 3 [9,6,4]
%o (Python) See Links section.
%Y Cf. A000002, A332864.
%K nonn,look,tabf
%O 1,2
%A _Samuel B. Reid_, Apr 14 2020
