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A083321
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a(n) = (-1)^n + (-2)^n - (-3)^n.
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7
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1, 0, -4, 18, -64, 210, -664, 2058, -6304, 19170, -58024, 175098, -527344, 1586130, -4766584, 14316138, -42981184, 129009090, -387158344, 1161737178, -3485735824, 10458256050, -31376865304, 94134790218, -282412759264, 847255055010, -2541798719464, 7625463267258
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OFFSET
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0,3
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LINKS
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FORMULA
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G.f.: (1+6*x+7*x^2)/((1+x)*(1+2*x)*(1+3*x)).
E.g.f.: exp(-x)+exp(-2*x)-exp(-3*x).
a(n) = (-1)^(n-1)*(3^n - 2^n - 1) for n >= 0. - M. F. Hasler, Apr 19 2020
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MATHEMATICA
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LinearRecurrence[{-6, -11, -6}, {1, 0, -4}, 30] (* Harvey P. Dale, Mar 05 2022 *)
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PROG
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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