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A140060 Array of quotients. 4

%I

%S 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,

%T 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,

%U 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

%N Array of quotients.

%C 1. k divides Q(n,k) for each k.

%C 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.

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

%e First 8 rows:

%e 1

%e 2 2

%e 3 2

%e 4 4 3

%e 5 4 3

%e 6 6 6 4

%e 7 6 6 4

%e 8 8 6 4

%e For row 5: Q(5,1)=5, Q(5,2)=2*[5/2]=4, Q(5,3)=3*[4/3]=3.

%Y Cf. A140061.

%K nonn,tabf

%O 1,2

%A _Clark Kimberling_, May 03 2008

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Last modified May 14 09:14 EDT 2021. Contains 343879 sequences. (Running on oeis4.)