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

1,6

Comments

a(odd) = 0.

Links

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

Example

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.

Crossrefs

Cf. A045619, A137900, A000041.

Sequence in context: A096577 A200213 A317839 * A369382 A293516 A333808

Adjacent sequences: A137896 A137897 A137898 * A137900 A137901 A137902

Keyword

nonn

Author

Reinhard Zumkeller, Feb 21 2008

Status

approved