A118540 Decimal expansion of the following number: (3/2)^(4/3)^(5/4)^(6/5)^(7/6)^(8/7)^(9/8)^(10/9)^(11/10)....

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

Offset: 1

Author

Ryan Propper, May 06 2006

Keywords

• cons
• nonn

Comments

Obtaining 100 digits of precision only requires computing (3/2)^(4/3)^...^(70/69).

Examples

			(3/2)^(4/3)^(5/4)^(6/5)^(7/6)^(8/7)^(9/8)^(10/9)^(11/10)^... = 1.8089245331482124416500714...
		

Crossrefs

Cf. A102575.

Programs

Mathematica

k = 1; For[a = 100, a > 2, a--, k = (a/(a-1))^k]; First[RealDigits[N[k, 100]]]