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A165227 Iteratively parse Pi until 9 of 10 digits have been found, with the remaining "lost" digit = the next term in the sequence. 0

%I

%S 0,1,0,6,5,9,3,5,7,6,6,7,5,0,9,7,7,8,9,3,0,7,7,8,4,4,9,0,6,5,7,8,5,4,

%T 2,9,9,4,5,7,4,7,7,5,4,6,4,7,7,4,9,2,1,4,4,3,4,0,4,4,0,6,4,6,8,5,9,3,

%U 0,0,1,5,3,7,6,5,9,8,4,1,8,1,2,1,3,5,8,8,0,1,0,7,3,2,5,1,2,1,6,7,5,6,8,0,7

%N Iteratively parse Pi until 9 of 10 digits have been found, with the remaining "lost" digit = the next term in the sequence.

%C a(176)=0, and it has the distinction of being the first "best case" scenario in which 9 out of 9 digits are distinct. Occurs at position 3312: "763594218". a(10562)=7, and it has the distinction of being the most elusive case in the first million digits of Pi, eluding 81 digits beginning at position 204249: "206589689495098835545433034480634690683626426926225260480503822296566585644546381".

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

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

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

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

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

%K easy,nonn,base

%O 1,4

%A _Gil Broussard_, Sep 09 2009

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Last modified August 16 14:26 EDT 2022. Contains 356168 sequences. (Running on oeis4.)