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A016752
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a(n) = (2*n)^12.
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2
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0, 4096, 16777216, 2176782336, 68719476736, 1000000000000, 8916100448256, 56693912375296, 281474976710656, 1156831381426176, 4096000000000000, 12855002631049216, 36520347436056576, 95428956661682176, 232218265089212416, 531441000000000000, 1152921504606846976
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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 (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
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FORMULA
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Sum_{n>=1} 1/a(n) = 691*Pi^12/2615348736000.
Sum_{n>=1} (-1)^(n+1)/a(n) = 1414477*Pi^12/5356234211328000. (End)
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MAPLE
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MATHEMATICA
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(2*Range[0, 20])^12 (* or *) LinearRecurrence[{13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1}, {0, 4096, 16777216, 2176782336, 68719476736, 1000000000000, 8916100448256, 56693912375296, 281474976710656, 1156831381426176, 4096000000000000, 12855002631049216, 36520347436056576}, 20] (* Harvey P. Dale, Apr 05 2018 *)
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PROG
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(PARI) vector(30, n, n--; (2*n)^12) \\ 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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