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A104790
Lengths of the sections of decimal expansion of exp(Pi) containing all 10 digits at least once.
1
25, 17, 40, 29, 26, 23, 22, 31, 30, 27, 31, 28, 31, 20, 13, 24, 17, 30, 37, 39, 30, 24, 28, 40, 20, 44, 32, 21, 18, 19, 18, 65, 26, 20, 24, 51, 25, 35, 37, 23, 39, 23, 20, 32, 25, 28, 16, 33, 20, 34, 44, 41, 32, 21, 31, 43, 17, 33, 17, 30, 44, 35, 36, 45, 19, 13, 36, 24, 17
OFFSET
1,1
COMMENTS
Among first 500 sections, s483 has the minimal length=12. In general, in decimal expansion of exp(pi), the first three partitions of 10 distinct digits, are: p[12186]={8,4,2,7,0,3,5,6,9,1}, p[13451]={0,7,9,5,3,4,1,6,2,8}, p[15422]={0,2,9,1,3,8,7,5,6,4}.
EXAMPLE
s1={2,3,1,4,0,6,9,2,6,3,2,7,7,9,2,6,9,0,0,5,7,2,9,0,8}-25 digits,
s2={6,3,6,7,9,4,8,5,4,7,3,8,0,2,6,6,1}-17 digits,
s3={2,3,1,4,0,6,9,2,6,3,2,7,7,9,2,6,9,0,0,5,7,2,9,0,8}-40 digits,
s483={4,7,8,1,3,5,6,6,2,4,0,9}- 12 digits.
CROSSREFS
Sequence in context: A281335 A028937 A215537 * A291429 A334562 A171806
KEYWORD
base,nonn
AUTHOR
Zak Seidov, Mar 25 2005
STATUS
approved