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A334081 If the terms of this sequence are divided into groups, the lengths of which are the terms of this sequence, the k-th term in a group is one greater than the k-th term in the previous group with at least k terms or 1 if no such group exists. 1

%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 k-th term in a group is one greater than the k-th 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) n-th 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

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Last modified April 21 02:10 EDT 2021. Contains 343143 sequences. (Running on oeis4.)