A137420 Continued fraction expansion of Sum_{n=1..infinity} (-1)^(n+1)/n^n = Integral_{x=0..1} x^(x) dx.

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

1,3

Comments

Cf. A083648 for decimal expansion.

Links

Table of n, a(n) for n=1..94.

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

Cf. A083648.

Sequence in context: A030596 A031277 A001165 * A134866 A340085 A143261

Adjacent sequences: A137417 A137418 A137419 * A137421 A137422 A137423

Keyword

nonn,cofr

Author

Jani Melik, Apr 16 2008

Status

approved