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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 (list; graph; refs; listen; history; text; internal format)
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,k-1)/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

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Last modified April 14 22:47 EDT 2021. Contains 342971 sequences. (Running on oeis4.)