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A111809 Triangle read by rows: for T(n,k), 1<=k<=n, gcd(k,n)=1, consider all representations of k/n as an Egyptian fraction; T(n,k) = minimal value of sum of denominators. 3
1, 2, 3, 8, 4, 6, 5, 18, 12, 17, 6, 5, 7, 32, 39, 16, 23, 36, 8, 12, 10, 14, 9, 24, 12, 20, 17, 23, 10, 15, 7, 20, 11, 72, 48, 36, 47, 24, 35, 95, 72, 60, 12, 10, 7, 12, 13, 98, 71, 82, 95, 101, 28, 41, 47, 58, 71, 96, 14, 21, 34, 9, 34, 41, 15, 32, 16, 21, 8, 23, 13, 15, 16, 24, 20 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Comment from David Wasserman, Mar 03 2009: Row n has A000010(n) members.

REFERENCES

Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004

LINKS

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

Index entries for sequences related to Egyptian fractions

EXAMPLE

Triangle begins:

1

2

3 8

4 6

5 18 12 17

6 5

7 32 39 16 23 36

8 12 10 14

9 24 12 20 17 23

10 15 7 20

11 72 48 36 47 24 35 95 72 60

12 10 7 12

CROSSREFS

Cf. A097847, A097848, A097849, A111807, A111804, A111860.

Sequence in context: A195794 A145605 A275708 * A100869 A110142 A158928

Adjacent sequences:  A111806 A111807 A111808 * A111810 A111811 A111812

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, based on communications from Franklin T. Adams-Watters, Nov 22 2005

EXTENSIONS

Corrected and extended by David Wasserman, Mar 03 2009

T(15, 14) corrected by David Wasserman, Mar 19 2009

STATUS

approved

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Last modified October 20 22:00 EDT 2021. Contains 348119 sequences. (Running on oeis4.)