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A078065
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Expansion of (1-x)/(1+2*x+x^2+x^3).
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2
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1, -3, 5, -8, 14, -25, 44, -77, 135, -237, 416, -730, 1281, -2248, 3945, -6923, 12149, -21320, 37414, -65657, 115220, -202197, 354831, -622685, 1092736, -1917618, 3365185, -5905488, 10363409, -18186515, 31915109, -56007112, 98285630, -172479257, 302679996, -531166365, 932131991
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0) = 1, a(1) = -3, a(2) = 5, a(n) = -2*a(n-1) - a(n-2) - a(n-3) for n > 2. - Jinyuan Wang, Apr 07 2020
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PROG
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(Haskell)
a078065 n = a078065_list !! n
a078065_list = 1 : zipWith (*) (cycle [-1, 1])
(zipWith (+) (map (* 2) a005251_list) (map (* 3) $ drop 2 a005251_list))
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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