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Search: id:A093593
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| A093593 |
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n! times sum of Farey fractions of order n. |
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+0
3
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| 1, 3, 15, 84, 660, 4680, 47880, 463680, 5261760, 59875200, 858211200, 11256537600, 183697113600, 2833294464000, 47730114432000, 847372990464000, 17250840262656000, 329722245844992000, 7359528574734336000
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics..
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EXAMPLE
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Multiplication of nth-order positive Farey fractions by n! gives the integer sequence A002088(n), for n>=1. Arrange them in rows:
1
1 2
2 3 4 6
6 8 12 16 18 24
The sum over row 4 is a(4)=84.
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MATHEMATICA
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Farey[n_] := Union[ Flatten[ Join[{0}, Table[a/b, {b, n}, {a, b}]]]]; Table[n!Plus @@ Farey[n], {n, 0, 20}] (from Robert G. Wilson v Apr 06 2004)
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CROSSREFS
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Cf. A002088, A092824, A093594.
Adjacent sequences: A093590 A093591 A093592 this_sequence A093594 A093595 A093596
Sequence in context: A026032 A005809 A067122 this_sequence A011900 A118342 A084209
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Apr 03 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 06 2004
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