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Search: id:A111809
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| A111809 |
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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. |
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+0
4
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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Comment from David Wasserman, Mar 03 2009: Row n has A000010(n) members.
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REFERENCES
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Franklin T. Adams-Watters, Posting to Seq Fan mailing list, Aug 21 2004
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LINKS
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Index entries for sequences related to Egyptian fractions
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EXAMPLE
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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
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CROSSREFS
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Cf. A097847, A097848, A097849, A111807, A111804, A111860.
Sequence in context: A079555 A100870 A145605 this_sequence A100869 A110142 A158928
Adjacent sequences: A111806 A111807 A111808 this_sequence A111810 A111811 A111812
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KEYWORD
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nonn,tabf
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), based on communications from Franklin T. Adams-Watters (franktaw(AT)netscape.net), Nov 22 2005
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EXTENSIONS
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Corrected and extended by David Wasserman (dwasserm(AT)earthlink.net), Mar 03 2009
T(15, 14) corrected by David Wasserman (dwasserm(AT)earthlink.net), Mar 19 2009
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