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A346531 a(n) is the number of edges of the polycube called "tower" described in A221529 where n is the longest side of its base. 2
12, 12, 27, 36, 51, 72, 84, 105, 117, 144, 165 (list; graph; refs; listen; history; text; internal format)
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).
LINKS
FORMULA
a(n) = A346530(n) + A346532(n) - 2 (Euler's formula).
EXAMPLE
For n = 1 the tower is a cube, and a cube has 12 edges, so a(1) = 12.
CROSSREFS
Cf. A000203 (area of the terraces), A000041 (height of the terraces), A066186 (volume), A345023 (surface area), A346530 (number of faces), A346532 (number of vertices).
Cf. A325301 (analog for the pyramid described in A245092).
Sequence in context: A173549 A299853 A251643 * A070710 A048759 A364434
KEYWORD
nonn,more
AUTHOR
Omar E. Pol, Jul 22 2021
STATUS
approved

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Last modified June 13 05:35 EDT 2024. Contains 373366 sequences. (Running on oeis4.)