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A104790 Lengths of the sections of decimal expansion of exp(Pi) containing all 10 digits at least once. 1

%I #4 Oct 01 2016 16:55:06

%S 25,17,40,29,26,23,22,31,30,27,31,28,31,20,13,24,17,30,37,39,30,24,28,

%T 40,20,44,32,21,18,19,18,65,26,20,24,51,25,35,37,23,39,23,20,32,25,28,

%U 16,33,20,34,44,41,32,21,31,43,17,33,17,30,44,35,36,45,19,13,36,24,17

%N Lengths of the sections of decimal expansion of exp(Pi) containing all 10 digits at least once.

%C Among first 500 sections, s483 has the minimal length=12. In general, in decimal expansion of exp(pi), the first three partitions of 10 distinct digits, are: p[12186]={8,4,2,7,0,3,5,6,9,1}, p[13451]={0,7,9,5,3,4,1,6,2,8}, p[15422]={0,2,9,1,3,8,7,5,6,4}.

%e s1={2,3,1,4,0,6,9,2,6,3,2,7,7,9,2,6,9,0,0,5,7,2,9,0,8}-25 digits,

%e s2={6,3,6,7,9,4,8,5,4,7,3,8,0,2,6,6,1}-17 digits,

%e s3={2,3,1,4,0,6,9,2,6,3,2,7,7,9,2,6,9,0,0,5,7,2,9,0,8}-40 digits,

%e s483={4,7,8,1,3,5,6,6,2,4,0,9}- 12 digits.

%Y Cf. A039661, A104781.

%K base,nonn

%O 1,1

%A _Zak Seidov_, Mar 25 2005

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