A034154 - OEIS

%I #9 Jul 08 2025 20:05:40

%S 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,

%T 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,

%U 0,0,0,0,0,0,0,0,0,0,0,0,0

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

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

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

%K nonn

%O 0,9

%A _N. J. A. Sloane_