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

Author

Reinhard Zumkeller, Feb 21 2008

Keywords

• nonn

Comments

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

more consecutive numbers: A137899(odd) = 0.

Examples

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

Links

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

Crossrefs

Cf. A045619, A137899, A000009.