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A346530
a(n) is the number of faces of the polycube called "tower" described in A221529 where n is the longest side of its base.
2
6, 6, 11, 14, 20, 27, 31, 38, 42, 51, 59
OFFSET
1,1
COMMENTS
The tower is a geometric object associated to all partitions of n.
The height of the tower equals A000041(n-1).
FORMULA
a(n) = A346531(n) - A346532(n) + 2 (Euler's formula).
EXAMPLE
For n = 1 the tower is a cube, and a cube has 6 faces, so a(1) = 6.
CROSSREFS
Cf. A000203 (area of the terraces), A000041 (height of the terraces), A066186 (volume), A345023 (surface area), A346531 (number of edges), A346532 (number of vertices).
Cf. A325300 (analog for the pyramid described in A245092).
Sequence in context: A122762 A046605 A095899 * A163757 A109538 A212534
KEYWORD
nonn,more
AUTHOR
Omar E. Pol, Jul 22 2021
STATUS
approved