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A052110 Decimal expansion of c^c^c^... where c is the constant defined in A037077. 1
4, 6, 1, 9, 2, 1, 4, 4, 0, 1, 6, 4, 4, 1, 1, 4, 4, 5, 4, 0, 8, 5, 8, 8, 6, 4, 2, 6, 1, 4, 1, 9, 4, 5, 7, 8, 6, 3, 5, 0, 2, 8, 2, 8, 0, 1, 3, 6, 4, 8, 8, 2, 2, 8, 4, 4, 3, 4, 1, 6, 2, 9, 2, 7, 3, 5, 8, 9, 1, 7, 2, 5, 0, 2, 1, 4, 1, 5, 0, 1, 9, 5, 2, 8, 7, 5, 1, 9, 9, 4, 2, 2, 2, 5, 8, 7, 8, 6, 0, 4, 7, 3, 5, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
See (Weisstein) link on Power Tower.
REFERENCES
S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 448-452.
LINKS
Eric Weisstein's World of Mathematics, Power Tower.
Gus Wiseman, Tetration.
OEIS Wiki, Tetration.
OEIS Wiki, MRB constant.
Wikipedia, Tetration.
EXAMPLE
0.4619214401644114454085886426141945786350282801364882284434162927358917250...
MATHEMATICA
n = 105; M = NSum[(-1)^n*(n^(1/n) - 1), {n, 1, Infinity}, WorkingPrecision -> n + 10, Method -> "AlternatingSigns"]; L = Log[M]; N[-ProductLog[-L]/L, n] (* Marvin Ray Burns, Mar 08 2013 *)
PROG
(PARI)
default(realprecision, 66);
M=sumalt(x=1, (-1)^x*((x^(1/x))-1));
solve(x=.46, .462, x^(1/x)-M)
CROSSREFS
Sequence in context: A199371 A156789 A195423 * A197020 A202321 A195425
KEYWORD
cons,nonn
AUTHOR
Marvin Ray Burns Jan 20 2000, Mar 28 2008, Nov 08 2009, Mar 24 2010, Jun 27 2011
EXTENSIONS
Simplified definition by Marvin Ray Burns, Mar 08 2013
STATUS
approved

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Last modified March 19 07:38 EDT 2024. Contains 370958 sequences. (Running on oeis4.)