A137900 Number of partitions of 2*n into distinct products of at least two consecutive positive integers.

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

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: A333516 A228202 A308972 * A025837 A111317 A105202

Adjacent sequences: A137897 A137898 A137899 * A137901 A137902 A137903

Keyword

nonn

Author

Reinhard Zumkeller, Feb 21 2008

Status

approved