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A120691 First differences of coefficients in the continued fraction for e. +0
3
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; listen)
OFFSET

0,1

COMMENT

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)=2*C(0,n)-C(1,n)-2*sin(2*pi*(n-1)/3)*floor((2n-1)/3)/sqrt(3);

CROSSREFS

Cf. A102899.

Sequence in context: A118404 A089339 A127284 this_sequence A111941 A153462 A126310

Adjacent sequences: A120688 A120689 A120690 this_sequence A120692 A120693 A120694

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jun 27 2006

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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