%I #11 Sep 17 2024 19:55:47
%S 24,24,48,72,120,168,264,360,528,720,1008,1344,1848,2424,3240,4224,
%T 5544,7128,9240,11760,15048,19008,24048,30120,37800,46992,58464,72240,
%U 89232,109560,134496,164208,200376,243432,295440,357192,431448,519288,624360,748440
%N a(n) = 24*p(n) = 24*A000041(n).
%C a(n) is also the area of one of the faces of the rectangular cuboid which is a three-dimensional version of the shell model of partitions of n. The areas of the other faces are A008606(n)=24*n and A066186(n)=n*p(n), where p(n) is the number of partitions of n. See A135010 for more information.
%e The number of partitions of 6 is p(6) = A000041(6) = 11, so a(6) = 24*11 = 264.
%t 24 PartitionsP[Range[0,40]] (* _Harvey P. Dale_, Sep 17 2024 *)
%Y Cf. A000041, A008606, A018253, A066186, A135010, A138121, A138011.
%K nonn,easy
%O 0,1
%A _Omar E. Pol_, Jan 22 2011