A393499 - OEIS

A393499

Decimal expansion of 512/(45*Pi^(5/2)), which is the average dimensionless pairwise Manhattan distance between all points in a city of circular shape.

%I #14 Feb 18 2026 11:30:29

%S 6,5,0,4,0,3,3,4,3,9,7,1,3,9,9,4,9,5,1,9,2,8,3,8,6,5,0,4,6,2,3,4,7,5,

%T 7,3,4,2,3,5,5,0,0,0,5,0,8,8,4,5,4,2,1,3,0,2,8,5,1,7,0,3,7,8,7,8,9,9,

%U 6,5,2,4,2,3,7,0,9,8,8,7,0,2,7,3,1,9,3,0

%N Decimal expansion of 512/(45*Pi^(5/2)), which is the average dimensionless pairwise Manhattan distance between all points in a city of circular shape.

%H Paolo Xausa, <a href="/A393499/b393499.txt">Table of n, a(n) for n = 0..10000</a>

%H Carl M. Bender, Michael A. Bender, Erik D. Demaine and Sándor P. Fekete, <a href="https://doi.org/10.1088/0305-4470/37/1/010">What is the optimal shape of a city?</a>, Journal of Physics A: Mathematical and General, Volume 37, Number 1, 2014. <a href="https://erikdemaine.org/papers/MinAvgDistance_JPhysA/paper.pdf">Alternative link</a>. (3.3, page 150)

%e 0.65040334397139949519283865046234757342355...

%t First[RealDigits[512/(45*Pi^(5/2)), 10, 100]] (* _Paolo Xausa_, Feb 18 2026 *)

%o (PARI) 512/(45*Pi^(5/2))

%Y Cf. A193452, A393500, A393501.

%K nonn,cons

%O 0,1

%A _Hugo Pfoertner_, Feb 17 2026