id:A137420 - OEIS Search Results

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Continued fraction expansion of sum(n=1..infinity,(-1)^(n+1)/n^n) = integral(x=0..1) x^(x) dx.

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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; listen)

	OFFSET	`1,3`
	COMMENT	`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 this_sequence A134866 A143261 A093421` `Adjacent sequences: A137417 A137418 A137419 this_sequence A137421 A137422 A137423`
	KEYWORD	`nonn,cofr`
	AUTHOR	`Jani Melik (jani.melik(AT)gmail.com), Apr 16 2008`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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