A104790 Lengths of the sections of decimal expansion of exp(Pi) containing all 10 digits at least once.

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

Author

Zak Seidov, Mar 25 2005

Keywords

• base
• nonn

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}.

Examples

			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

Cf. A039661, A104781.