A137899 Number of partitions of n into products of at least two consecutive positive integers.

0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 4, 0, 4, 0, 4, 0, 6, 0, 7, 0, 7, 0, 11, 0, 12, 0, 12, 0, 17, 0, 19, 0, 19, 0, 26, 0, 28, 0, 29, 0, 38, 0, 42, 0, 43, 0, 55, 0, 60, 0, 62, 0, 77, 0, 85, 0, 87, 0, 108, 0, 118, 0, 122, 0, 147, 0, 161, 0, 166, 0, 200, 0, 217, 0, 225, 0, 264, 0, 289, 0, 299, 0, 351

Offset: 1

Author

Reinhard Zumkeller, Feb 21 2008

Keywords

• nonn

Comments

a(odd) = 0.

Examples

			a(12)=#{3*4,2*3+2*3,2*3+1*2+1*2+1*2,1*2+1*2+1*2+1*2+1*2+1*2}=4.
		

Links

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

Crossrefs

Cf. A045619, A137900, A000041.