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

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".

Links

Table of n, a(n) for n=1..69.

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

Adjacent sequences: A165225 A165226 A165227 * A165229 A165230 A165231

Keyword

easy,nonn,base

Author

Gil Broussard, Sep 09 2009

Status

approved