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A024055
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a(n) = 5^n - n^6.
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2
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1, 4, -39, -604, -3471, -12500, -31031, -39524, 128481, 1421684, 8765625, 47056564, 241154641, 1215876316, 6095986089, 30506187500, 152571113409, 762915315556, 3814663253401, 19073439282244, 95367367640625
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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(n) = 12*a(n-1) - 56*a(n-2) + 140*a(n-3) - 210*a(n-4) + 196*a(n-5) - 112*a(n-6) + 36*a(n-7) - 5*a(n-8), a(0)=1, a(1)=4, a(2)=-39, a(3)=-604, a(4)=-3471, a(5)=-12500, a(6)=-31031, a(7)=-39524. - Harvey P. Dale, Jul 21 2011
G.f.: (1 - 8*x - 31*x^2 - 52*x^3 + 1243*x^4 + 1432*x^5 + 291*x^6 + 4*x^7)/((1-5*x)*(1-x)^7). - Bruno Berselli, Jul 21 2011
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MATHEMATICA
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LinearRecurrence[{12, -56, 140, -210, 196, -112, 36, -5}, {1, 4, -39, -604, -3471, -12500, -31031, -39524}, 61] (* Harvey P. Dale, Jul 21 2011 *)
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PROG
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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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