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

1,2

Comments

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

Links

Table of n, a(n) for n=1..75.

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).

Example

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

Mathematica

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

Crossrefs

Cf. A140060.

Cf. A007952.

Sequence in context: A239680 A128076 A076243 * A292776 A061313 A259846

Adjacent sequences: A140058 A140059 A140060 * A140062 A140063 A140064

Keyword

nonn,tabf

Author

Clark Kimberling, May 03 2008

Status

approved