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

%I #7 Jan 10 2024 23:55:00

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

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

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

%N Decimal expansion of the probability that the T 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>.

%F Equals (286720 - 520576*Pi + 365408*Pi^2 - 125052*Pi^3 + 20982*Pi^4 - 1386*Pi^5)/(1204224 - 2114560*Pi + 1452608*Pi^2 - 490176*Pi^3 + 81507*Pi^4 - 5355*Pi^5).

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

%e 0.204300930947210621152745074614757706834953524705637911204238...

%Y 7th row of A368660.

%Y Cf. A368665, A368666, A368668, A368669.

%K nonn,cons

%O 0,1

%A _Pontus von Brömssen_, Jan 04 2024