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A137900
Number of partitions of 2*n into distinct products of at least two consecutive positive integers.
3
1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 3, 4, 1, 2, 4, 2, 2, 5, 3, 3, 7, 4, 3, 6, 3, 5, 8, 4, 5, 8, 5, 5, 9, 6, 6, 12, 8, 6, 12, 8, 8, 13, 8, 8, 14, 10, 9, 16, 12, 10, 18, 13, 9, 19, 15, 14, 23, 16, 13, 22, 17, 14, 24, 20, 16, 29, 24, 16, 29, 24, 21, 33, 26, 21, 33, 29, 24
OFFSET
1,10
COMMENTS
There are no partitions of odd numbers into products of two or
more consecutive numbers: A137899(odd) = 0.
LINKS
EXAMPLE
a(16) = #{5*6+1*2, 2*3*4+2*3+1*2, 4*5+3*4} = 3.
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Feb 21 2008
STATUS
approved