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Decimal expansion of the probability that the straight tetromino appears when the 4th cell is added in diffusion-limited aggregation on the square lattice.
6

%I #12 Feb 11 2025 14:31:00

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

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

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

%N Decimal expansion of the probability that the straight tetromino appears when the 4th cell is added in diffusion-limited aggregation on the square lattice.

%C See A368660 for details.

%H <a href="/index/Pol#polyominoes">Index entries for sequences related to polyominoes</a>.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%F Equals (320 - 256*Pi + 68*Pi^2 - 6*Pi^3)/(21504 - 18752*Pi + 5440*Pi^2 - 525*Pi^3).

%F A368665 + A368666 + A368667 + A368668 + A368669 = 1.

%e 0.162796244424175854682512001024548670877500478908211364328916...

%t First[RealDigits[2*(Pi - 4)^2*(3*Pi - 10)/((5*Pi - 16)*(7*Pi - 24)*(15*Pi - 56)), 10, 100]] (* _Paolo Xausa_, Nov 12 2024 *)

%Y 9th row of A368660.

%Y Cf. A368665, A368666, A368667, A368668.

%K nonn,cons

%O 0,2

%A _Pontus von Brömssen_, Jan 04 2024