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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. 0
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Cf. A083648 for decimal expansion.

LINKS

Wikipedia, Sophomore's dream.

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

Sequence in context: A030596 A031277 A001165 * A134866 A143261 A204116

Adjacent sequences:  A137417 A137418 A137419 * A137421 A137422 A137423

KEYWORD

nonn,cofr

AUTHOR

Jani Melik (jani.melik(AT)gmail.com), Apr 16 2008

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.