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A078058 Expansion of (1-x)/(1+2*x-x^2+x^3). 1
1, -3, 7, -18, 46, -117, 298, -759, 1933, -4923, 12538, -31932, 81325, -207120, 527497, -1343439, 3421495, -8713926, 22192786, -56520993, 143948698, -366611175, 933692041, -2377943955, 6056191126, -15424018248, 39282171577, -100044552528, 254795294881, -648917313867 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(0)=1, a(1)=-3, a(2)=7, a(n)=-2*a(n-1)+a(n-2)-a(n-3) [From Harvey P. Dale, Oct 22 2011]

MATHEMATICA

CoefficientList[Series[(1-x)/(1+2x-x^2+x^3), {x, 0, 30}], x] (* or *) LinearRecurrence[{-2, 1, -1}, {1, -3, 7}, 31] (* From Harvey P. Dale, Oct 22 2011 *)

CROSSREFS

Sequence in context: A191826 A114713 * A116413 A052960 A059512 A094297

Adjacent sequences:  A078055 A078056 A078057 * A078059 A078060 A078061

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 17 2002

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Last modified February 17 19:07 EST 2012. Contains 206085 sequences.