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A165228
Lengths of the sections of decimal expansion of Pi containing 9 distinct digits.
0
14, 19, 16, 16, 22, 12, 11, 13, 16, 10, 22, 24, 15, 15, 21, 16, 23, 20, 22, 17, 11, 20, 14, 18, 19, 19, 13, 15, 21, 20, 14, 16, 12, 26, 18, 16, 14, 13, 16, 19, 15, 16, 23, 15, 14, 20, 12, 12, 39, 27, 16, 17, 14, 40, 19, 18, 19, 17, 14, 22, 12, 38, 19, 20, 16, 21, 21, 19, 23
OFFSET
1,1
COMMENTS
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".
EXAMPLE
a(1) = 14 because every digit except 0 occurs in the initial 14 digits of Pi: 31415926535897.
a(2) = 19 because every digit except 1 occurs in the next 19 digits of Pi: 9323846264338327950.
a(3) = 16 because every digit except 0 occurs in the next 16 digits of Pi: 2884197169399375.
a(4) = 16 because every digit except 6 occurs in the next 16 digits of Pi: 1058209749445923.
a(5) = 22 because every digit except 5 occurs in the next 22 digits of Pi: 0781640628620899862803.
CROSSREFS
Sequence in context: A186120 A065343 A222576 * A205866 A248134 A013649
KEYWORD
easy,nonn,base
AUTHOR
Gil Broussard, Sep 09 2009
STATUS
approved