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Search: id:A104185
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| A104185 |
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Number of partitions of the set 1, 2, 3, ..., 6n+3 into 2n+1 sets of 3 elements each, such that each 3-element set has the same sum (there are no such partitions unless there are 6n+3 elements). |
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+0
1
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| 1, 2, 11, 84, 1296, 24293, 703722, 24212879, 1157746949, 63552536107
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Dossey, Giordano, McCrone and Weir, Mathematics methods and modeling for today's mathematics classroom, p. 134
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LINKS
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Michael Paul Goldenberg, Online discussion
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EXAMPLE
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a(1) = 2 because with 9 elements they can be partitioned (9 5 1) (8 4 3) (7 6 2) or (9 4 2) (8 6 1) (7 5 3)
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PROGRAM
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Scheme program to generate terms of the sequence available from Joshua Zucker on request.
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CROSSREFS
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Sequence in context: A143140 A086406 A158098 this_sequence A074604 A135404 A151360
Adjacent sequences: A104182 A104183 A104184 this_sequence A104186 A104187 A104188
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KEYWORD
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more,nonn
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AUTHOR
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Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), Mar 11 2005
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EXTENSIONS
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More terms from Guenter Sterten
The terms 1157746949, 63552536107 were found by D. E. Knuth, Sep 04 2009
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