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A165228 Lengths of the sections of decimal expansion of Pi containing 9 distinct digits. 0

%I

%S 14,19,16,16,22,12,11,13,16,10,22,24,15,15,21,16,23,20,22,17,11,20,14,

%T 18,19,19,13,15,21,20,14,16,12,26,18,16,14,13,16,19,15,16,23,15,14,20,

%U 12,12,39,27,16,17,14,40,19,18,19,17,14,22,12,38,19,20,16,21,21,19,23

%N Lengths of the sections of decimal expansion of Pi containing 9 distinct digits.

%C a(176)=9, and it is the first "best case" scenario in which 9 out of 9 digits are distinct. Occurs at position 3312: "763594218". a(10562)=81, and it the longest case in the first million digits of Pi, with "7" eluding 81 digits beginning at position 204249: "206589689495098835545433034480634690683626426926225260480503822296566585644546381".

%e a(1) = 14 because every digit except 0 occurs in the initial 14 digits of Pi: 31415926535897.

%e a(2) = 19 because every digit except 1 occurs in the next 19 digits of Pi: 9323846264338327950.

%e a(3) = 16 because every digit except 0 occurs in the next 16 digits of Pi: 2884197169399375.

%e a(4) = 16 because every digit except 6 occurs in the next 16 digits of Pi: 1058209749445923.

%e a(5) = 22 because every digit except 5 occurs in the next 22 digits of Pi: 0781640628620899862803.

%K easy,nonn,base

%O 1,1

%A _Gil Broussard_, Sep 09 2009

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