A099199 Number of partitions of n into odd triangular numbers.

1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 9, 9, 9, 12, 12, 12, 15, 15, 15, 18, 18, 18, 22, 22, 22, 26, 26, 26, 31, 31, 31, 36, 36, 36, 42, 42, 42, 50, 50, 50, 58, 58, 58, 67, 67, 67, 76, 77, 77, 87, 88, 88, 100, 101, 101, 114, 115, 115, 130, 131, 131, 146, 148, 148, 164

Offset

1,3

Links

Table of n, a(n) for n=1..72.

Example

a(8) = #{3+3+1+1, 3+1+1+1+1+1, 1+1+1+1+1+1+1+1} = 3.

Crossrefs

Cf. A099200, A007294, A000041, A000217.

Sequence in context: A194990 A231153 A330557 * A172474 A062276 A350327

Adjacent sequences: A099196 A099197 A099198 * A099200 A099201 A099202

Keyword

nonn

Author

Reinhard Zumkeller, Oct 04 2004

Status

approved