A102575 Decimal expansion of 2^(3/2)^(4/3)^(5/4)^(6/5)^(7/6)^(8/7)^(9/8)^(10/9)^(11/10)....

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

Offset

1,1

Comments

I do not use brackets for the powers, so do not confuse this with 2^(3/2*4/3*5/4...)

Obtaining 100 digits of precision only requires computing 2^(3/2)^(4/3)^...^(70/69). - Ryan Propper, May 06 2006

Links

Table of n, a(n) for n=1..104.

Example

3.5038099724520171086395374917713267007683... - Jianing Song, Nov 18 2018

Mathematica

k = 1; For[a = 100, a > 1, a--, k = (a/(a-1))^k]; First[RealDigits[N[k, 100]]] (* Ryan Propper, May 06 2006 *)

Crossrefs

Cf. A242759, A242760, A341324, A341325.

Sequence in context: A010614 A373025 A153099 * A309091 A200520 A224933

Adjacent sequences: A102572 A102573 A102574 * A102576 A102577 A102578

Keyword

cons,nonn

Author

Raes Tom (tommy1729(AT)hotmail.com), Feb 25 2005

Extensions

More terms from Ryan Propper, May 06 2006

Status

approved