A140061 Triangle of quotients.

1, 3, 2, 5, 4, 3, 9, 8, 6, 4, 11, 10, 9, 8, 5, 17, 16, 15, 12, 10, 6, 21, 20, 18, 16, 15, 12, 7, 29, 28, 27, 24, 20, 18, 14, 8, 33, 32, 30, 28, 25, 24, 21, 16, 9, 41, 40, 39, 36, 35, 30, 28, 24, 18, 10, 47, 46, 45, 44, 40, 36, 35, 32, 27, 20, 11, 57, 56, 54, 52, 50, 48, 42, 40, 36

Offset: 1

Author

Clark Kimberling, May 03 2008

Keywords

• nonn
• tabf

Comments

Column 1 is essentially A007952. - Clark Kimberling, Aug 27 2008

Examples

			First 6 rows:
1
3 2
5 4 3
9 8 6 4
11 10 9 8 5
17 16 15 12 10 6
		

Crossrefs

Cf. A140060.

Cf. A007952.

Programs

Mathematica

Flatten@Table[Reverse@FoldList[#2*Floor[#1/#2+1]&,i,Reverse@Range[i-1]],{i,10}] (* Birkas Gyorgy, Feb 26 2011 *)

Formula

The triangular subarray of A140060 consisting of rows whose terms are distinct. If n is the first term in a row (i.e., if n is a term of A082447), then Q(n,1)=n, Q(n,k)=k*Floor(Q(n,k-1)/k).