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Triangular array, read by rows: T(n,k) = greatest decimal number of length k contained as a string in the first n positions of the decimal expansion of Pi, 1 <= k <= n.
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%I #9 Apr 11 2021 01:29:30

%S 3,3,31,4,31,314,4,41,314,3141,5,41,415,3141,31415,9,59,415,4159,

%T 31415,314159,9,92,592,4159,41592,314159,3141592,9,92,926,5926,41592,

%U 415926,3141592,31415926,9,92,926,9265,59265,415926,4159265,31415926

%N Triangular array, read by rows: T(n,k) = greatest decimal number of length k contained as a string in the first n positions of the decimal expansion of Pi, 1 <= k <= n.

%C Conjecture: T(n,k) -> 10^k - 1.

%H Dave Andersen, <a href="http://www.angio.net/pi/piquery">The Pi-Search Page</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Pi.html">Pi</a>.

%e Triangle begins:

%e 3,

%e 3, 31,

%e 4, 31, 314,

%e 4, 41, 314, 3141,

%e 5, 41, 415, 3141, 31415,

%e ...

%Y Cf. A000796.

%K nonn,base,tabl

%O 1,1

%A _Reinhard Zumkeller_, Jul 27 2003