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, 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, 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, 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

Offset

1,2

Links

Samuel B. Reid, Table of n, a(n) for n = 1..10000

Samuel B. Reid, Python program for A334081

Example

--------------------
n  a(n)  n-th Group
--------------------
1  1     [1]
2  2     [2,1]
3  1     [3]
4  3     [4,2,1]
5  4     [5,3,2,1]
6  2     [6,4]
7  1     [7]
8  5     [8,5,3,2,1]
9  3     [9,6,4]

Prog

(Python) # See Links section.

Crossrefs

Cf. A000002, A332864.

Sequence in context: A133923 A347296 A341231 * A125158 A273823 A112384

Adjacent sequences: A334078 A334079 A334080 * A334082 A334083 A334084

Keyword

nonn,look,tabf

Author

Samuel B. Reid, Apr 14 2020

Status

approved