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Search: id:A165228
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| A165228 |
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Lengths of the sections of decimal expansion of pi containing 9 distinct digits. |
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+0
1
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| 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
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(176)=9, and it is the first "best case" scenario in which 9 out of 9 digits are distinct. Occurs at position 3,312: "763594218". a(10562)=81, and it the longest case in the first million digits of pi, with "7" eluding 81 digits beginning at position 204,249: "206589689495098835545433034480634690683626426926225260480503822296566585644546381".
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EXAMPLE
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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.
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CROSSREFS
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Sequence in context: A079349 A154864 A065343 this_sequence A013649 A013657 A013653
Adjacent sequences: A165225 A165226 A165227 this_sequence A165229 A165230 A165231
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KEYWORD
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easy,nonn
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AUTHOR
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Gil Broussard (gilbroussard(AT)bellsouth.net), Sep 09 2009
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