OFFSET
0,2
COMMENTS
Each part is represented by a cuboid of sides 1 X 1 X k where k is the size of the part. For the definition of "regions of n" see A206437.
FORMULA
EXAMPLE
For n = 11 the three views of the shell model of partitions with 11 regions look like this:
.
.
. 6 * * * * * 6
. 3 3 P * * 3 * * 3
. 2 4 a * * * 4 * 2
. 2 2 2 r * 2 * 2 * 2
. 1 5 t * * * * 5 1
. 1 2 3 i * * 3 * 2 1
. 1 1 4 t * * * 4 1 1
. 1 1 2 2 i * 2 * 2 1 1
. 1 1 1 3 o * * 3 1 1 1
. 1 1 1 1 2 n * 2 1 1 1 1
. 1 1 1 1 1 1 s 1 1 1 1 1 1
. <------- Regions ------ ------------> N
. L
. a 1
. r * 2
. g * * 3
. e * 2
. s * * * 4
. t * * 3
. * * * * 5
. p * 2
. a * * * 4
. r * * 3
. t * * * * * 6
. s
. A182727(11) = 35
.
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Apr 23 2012
STATUS
approved