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A016750
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a(n) = (2*n)^10.
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2
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0, 1024, 1048576, 60466176, 1073741824, 10000000000, 61917364224, 289254654976, 1099511627776, 3570467226624, 10240000000000, 26559922791424, 63403380965376, 141167095653376, 296196766695424, 590490000000000, 1125899906842624, 2064377754059776, 3656158440062976
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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FORMULA
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G.f.: -1024*x*(1+x)*(x^8 + 1012*x^7 + 46828*x^6 + 408364*x^5 + 901990*x^4 + 408364*x^3 + 46828*x^2 + 1012*x + 1)/(x-1)^11. - R. J. Mathar, Jul 07 2017
Sum_{n>=1} 1/a(n) = Pi^10/95800320.
Sum_{n>=1} (-1)^(n+1)/a(n) = 73*Pi^10/7007109120. (End)
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MAPLE
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MATHEMATICA
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LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {0, 1024, 1048576, 60466176, 1073741824, 10000000000, 61917364224, 289254654976, 1099511627776, 3570467226624, 10240000000000}, 30] (* Harvey P. Dale, May 11 2022 *)
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PROG
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(PARI) vector(30, n, n--; (2*n)^10) \\ G. C. Greubel, Sep 15 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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