A166239 Number of partitions of n with distinct occurrences of parts.

1, 1, 2, 2, 4, 5, 7, 9, 13, 16, 19, 27, 33, 40, 54, 63, 75, 99, 116, 140, 175, 198, 244, 293, 349, 401, 491, 563, 666, 790, 912, 1046, 1266, 1419, 1667, 1929, 2221, 2528, 2979, 3345, 3868, 4422, 5057, 5709, 6638, 7395, 8480, 9626, 10925, 12237, 14052, 15622

Offset

0,3

Links

Table of n, a(n) for n=0..51.

Example

a(4) = #{4, 2+2, 2+1+1, 1+1+1+1} = 4;
a(5) = #{5, 3+1+1, 2+2+1, 2+1+1+1, 1+1+1+1+1} = 5;
a(6) = #{6, 4+1+1, 3+3, 3+1+1+1, 2+2+2, 2+4x1, 6x1} = 7.

Crossrefs

Sequence in context: A027592 A007209 A240215 * A058661 A094362 A000726

Adjacent sequences: A166236 A166237 A166238 * A166240 A166241 A166242

Keyword

nonn

Author

Reinhard Zumkeller, Oct 09 2009

Status

approved