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A133131
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a(4n) = 3n+1, a(4n+1) = -3n, a(4n+2) = -3n-3, a(4n+3) = 3n+2.
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0
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1, 0, -3, 2, 4, -3, -6, 5, 7, -6, -9, 8, 10, -9, -12, 11, 13, -12, -15, 14, 16, -15, -18, 17, 19, -18, -21, 20, 22, -21, -24, 23, 25, -24, -27, 26, 28, -27, -30, 29, 31, -30, -33, 32, 34, -33, -36, 35, 37, -36, -39, 38, 40, -39, -42, 41, 43, -42, -45, 44, 46, -45, -48, 47, 49, -48, -51, 50, 52, -51, -54, 53, 55, -54, -57, 56
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OFFSET
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0,3
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COMMENTS
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Second differences of 0, 0, 1, 2, 0, 0, 3, 4 .. .
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LINKS
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FORMULA
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G.f.: (1+x^4+x^3-x^2+x)/((x+1)*(x^2+1)^2). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009
a(n) = (-2*(-1)^n+(7+6*n+3*(-1)^n)*cos(n*Pi/2)+(13-6*n+9*(-1)^n)*sin(n*Pi/2) )/8. - Wesley Ivan Hurt, May 07 2021
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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