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A104185 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). 5
1, 2, 11, 84, 1296, 24293, 703722, 24212879, 1157746949, 63552536107 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
Dossey, Giordano, McCrone and Weir, Mathematics methods and modeling for today's mathematics classroom, p. 134
LINKS
Michael Paul Goldenberg, Online discussion
EXAMPLE
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)
PROG
Scheme program to generate terms of the sequence available from Joshua Zucker on request.
CROSSREFS
Bisection of column k=3 of A203986. - Alois P. Heinz, Jan 09 2012
Sequence in context: A279202 A086406 A158098 * A074604 A135404 A370475
KEYWORD
more,nonn
AUTHOR
Joshua Zucker, Mar 11 2005
EXTENSIONS
More terms from Guenter Stertenbrink
The terms 1157746949, 63552536107 were found by Don Knuth, Sep 04 2009
STATUS
approved

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Last modified June 14 11:02 EDT 2024. Contains 373396 sequences. (Running on oeis4.)