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A137420
Continued fraction expansion of Sum_{n=1..infinity} (-1)^(n+1)/n^n = Integral_{x=0..1} x^(x) dx.
1
0, 1, 3, 1, 1, 1, 1, 1, 1, 2, 4, 7, 2, 1, 2, 1, 1, 1, 2, 1, 14, 1, 1, 2, 4, 1, 120, 1, 3, 1, 4, 1, 2, 6, 1, 1, 5, 1, 1, 5, 2, 1, 11, 2, 409, 1, 1, 7, 3, 2, 1, 11, 142, 1, 3, 1, 44, 1, 1, 27, 1, 3, 1, 1, 100, 1, 39, 14, 2, 16, 1, 1, 11, 1, 2, 29, 2, 1, 1, 1, 3, 4, 1, 1, 1, 12, 1, 1, 118, 7, 9, 1, 1, 6
OFFSET
0,3
MAPLE
sd1 := proc(n) local i, tren; tren := 0: for i from 1 to n do tren := (-1)^(i+1)*(1/i^(i)) + tren: od; RETURN(tren); end: numtheory[cfrac] (sd1(300), 150, 'quotients');
CROSSREFS
Cf. A083648 (decimal expansion).
Sequence in context: A030596 A031277 A001165 * A134866 A340085 A143261
KEYWORD
nonn,cofr
AUTHOR
Jani Melik, Apr 16 2008
EXTENSIONS
Offset changed by Andrew Howroyd, Aug 03 2024
STATUS
approved