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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 (list; graph; refs; listen; history; internal format)
OFFSET

1,10

COMMENTS

There are no partitions of odd numbers into products of two or

more consecutive numbers: A137899(odd) = 0.

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..250

EXAMPLE

a(16) = #{5*6+1*2, 2*3*4+2*3+1*2, 4*5+3*4} = 3.

CROSSREFS

Cf. A045619, A137899, A000009.

Sequence in context: A029319 A050205 A175190 * A025837 A111317 A105202

Adjacent sequences:  A137897 A137898 A137899 * A137901 A137902 A137903

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 21 2008

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Last modified February 17 11:42 EST 2012. Contains 206011 sequences.