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

1,2

Comments

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

Links

Table of n, a(n) for n=1..100.

Example

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

Mathematica

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

Crossrefs

Cf. A102575.

Sequence in context: A319215 A200513 A200523 * A165110 A055959 A341485

Adjacent sequences: A118537 A118538 A118539 * A118541 A118542 A118543

Keyword

cons,nonn

Author

Ryan Propper, May 06 2006

Status

approved