

A077589


Decimal expansion of real part of the infinite power tower of i.


5



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

0,1


COMMENTS

This is the real part of i^i^i^i^i^i...


LINKS

Table of n, a(n) for n=0..100.
Eric Weisstein's World of Mathematics, i
Eric Weisstein's World of Mathematics, Power Tower


FORMULA

The value is 2 (i/pi) W(i pi/2) = 0.4382829... + i 0.360592..., where W denotes the principal branch of the Lambert W function.  David W. Cantrell, Nov 23 2007


EXAMPLE

Equals 0.43828293672703211162697516355126482426789735164639460360922124049579153222269569...


MATHEMATICA

Prepend@@RealDigits[Re[ ProductLog[ Log[I]]/Log[I]], 10, 150]


CROSSREFS

Cf. A049006, A077590 (imaginary part).
Sequence in context: A099289 A231892 A065628 * A114941 A161016 A019835
Adjacent sequences: A077586 A077587 A077588 * A077590 A077591 A077592


KEYWORD

nonn,cons,nice


AUTHOR

Eric W. Weisstein, Nov 07, 2002


STATUS

approved



