A120691 - OEIS

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A120691

First differences of coefficients in the continued fraction for e.

2, -1, 1, -1, 0, 3, -3, 0, 5, -5, 0, 7, -7, 0, 9, -9, 0, 11, -11, 0, 13, -13, 0, 15, -15, 0, 17, -17, 0, 19, -19, 0, 21, -21, 0, 23, -23, 0, 25, -25, 0, 27, -27, 0, 29, -29, 0, 31, -31, 0, 33, -33, 0, 35, -35, 0, 37, -37, 0, 39, -39 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`First differences of A003417.`
	FORMULA	`G.f.: (1-x)(2+x+2x^2-3x^3-x^4+x^6)/(1-2x^3+x^6); a(n)=2C(0,n)-C(1,n)-2sin(2pi(n-1)/3)*floor((2n-1)/3)/sqrt(3);`
	CROSSREFS	`Cf. A102899.` `Sequence in context: A118404 A089339 A127284 * A111941 A153462 A126310` `Adjacent sequences: A120688 A120689 A120690 * A120692 A120693 A120694`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jun 27 2006`

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