A183008 a(n) = 24*p(n) = 24*A000041(n).

24, 24, 48, 72, 120, 168, 264, 360, 528, 720, 1008, 1344, 1848, 2424, 3240, 4224, 5544, 7128, 9240, 11760, 15048, 19008, 24048, 30120, 37800, 46992, 58464, 72240, 89232, 109560, 134496, 164208, 200376, 243432, 295440, 357192, 431448, 519288, 624360, 748440

Offset

0,1

Comments

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.

Links

Table of n, a(n) for n=0..39.

Example

The number of partitions of 6 is p(6) = A000041(6) = 11, so a(6) = 24*11 = 264.

Mathematica

24 PartitionsP[Range[0, 40]] (* Harvey P. Dale, Sep 17 2024 *)

Crossrefs

Cf. A000041, A008606, A018253, A066186, A135010, A138121, A138011.

Sequence in context: A185750 A040553 A373996 * A022358 A122505 A103640

Adjacent sequences: A183005 A183006 A183007 * A183009 A183010 A183011

Keyword

nonn,easy

Author

Omar E. Pol, Jan 22 2011

Status

approved