

A140060


Array of quotients.


4



1, 2, 2, 3, 2, 4, 4, 3, 5, 4, 3, 6, 6, 6, 4, 7, 6, 6, 4, 8, 8, 6, 4, 9, 8, 6, 4, 10, 10, 9, 8, 5, 11, 10, 9, 8, 5, 12, 12, 12, 12, 10, 6, 13, 12, 12, 12, 10, 6, 14, 14, 12, 12, 10, 6, 15, 14, 12, 12, 10, 6, 16, 16, 15, 12, 10, 6, 17, 16, 15, 12, 10, 6, 18, 18, 18, 16, 15, 12, 7, 19, 18, 18
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OFFSET

1,2


COMMENTS

1. k divides Q(n,k) for each k.
2. The numbers in row n are distinct if and only if n is a term of the Sieve of Tchoukaillon (or Mancala, or Kalahari), A007952.


LINKS

Table of n, a(n) for n=1..83.


FORMULA

For n>=1, for k=1,2,...,A082447(n), Q(n,1)=n, Q(n,k)=k*Floor(Q(n,k1)/k).


EXAMPLE

First 8 rows:
1
2 2
3 2
4 4 3
5 4 3
6 6 6 4
7 6 6 4
8 8 6 4
For row 5: Q(5,1)=5, Q(5,2)=2*[5/2]=4, Q(5,3)=3*[4/3]=3.


CROSSREFS

Cf. A140061.
Sequence in context: A088936 A328405 A049822 * A164341 A333257 A334968
Adjacent sequences: A140057 A140058 A140059 * A140061 A140062 A140063


KEYWORD

nonn,tabf


AUTHOR

Clark Kimberling, May 03 2008


STATUS

approved



