two fast-growing sequences

Henry in Rotherhithe se16 at btinternet.com
Wed Feb 15 02:05:59 CET 2006


B(n) (b := 4^b) is the 4 equivalent to A014221 and A014222 (it appears in
http://mathworld.wolfram.com/PowerTower.html) while A(n) is its offset
square root.

Henry Bottomley

> From: Jeremy Gardiner
> Sent: 12 February 2006 13:03
> b=0
> do
>    a := 2^b
>    b := a^2
> loop
> A(n) = 1, 2, 16, 1.157921E+77, ...
> B(n) = 0, 1, 4, 256, 1.340781E+154, ...
> The terms grow too rapidly for me to calculate further: does anyone
> recognise these sequences?

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