A034154 Number of partitions of n into 3 distinct parts from [ 1,11 ].

0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 12, 13, 12, 12, 11, 10, 8, 7, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

0,9

Links

Table of n, a(n) for n=0..76.

Formula

Coefficient of t^3 in (1+tx)(1+tx^2)(1+tx^3)...(1+tx^11).

Mathematica

Table[Count[IntegerPartitions[n, {3}], _?(Length[Union[#]]==3&&Max[#]<12&)], {n, 0, 80}] (* Harvey P. Dale, Sep 29 2024 *)

Crossrefs

Sequence in context: A101545 A375857 A245231 * A039262 A039202 A039152

Adjacent sequences: A034151 A034152 A034153 * A034155 A034156 A034157

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved