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A290190 Minimum sum of mutual Manhattan distances of n distinct grid points in a cubic lattice. 1
1, 4, 8, 16, 25, 36, 48, 68, 89, 112, 136, 168 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

Sum of mutual L1-distances of locations in a 3-dimensional n-town of optimum shape.

LINKS

Table of n, a(n) for n=2..13.

EXAMPLE

a(2)=1: Grid points (1 2 2),(1 1 2)

a(3)=4: (1 1 1),(1 2 1),(2 1 1)

a(4)=8: (1 1 1),(2 1 1),(1 2 1),(2 2 1)

a(5)=16: (1 2 2),(2 2 1),(2 2 2),(1 1 1),(1 2 1)

a(6)=25: (2 1 2),(1 1 1),(2 2 1),(2 1 1),(1 2 1),(2 2 2)

a(10)=89: (2 2 2),(1 3 1),(1 1 1),(1 2 2),(2 3 2),(2 1 1),(1 3 2),(1 2 1),(2 2 1),(2 3 1)

CROSSREFS

Cf. A193452.

Sequence in context: A246067 A161226 A022560 * A193452 A003451 A277029

Adjacent sequences:  A290187 A290188 A290189 * A290191 A290192 A290193

KEYWORD

nonn,more

AUTHOR

Hugo Pfoertner, Jul 23 2017

STATUS

approved

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Last modified March 22 12:43 EDT 2019. Contains 321421 sequences. (Running on oeis4.)