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A140061 Triangle of quotients. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 16 12:38 EDT 2021. Contains 343947 sequences. (Running on oeis4.)