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A167533
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a(n) = 71*n - a(n-1) for n>0, a(0)=12.
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5
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12, 59, 83, 130, 154, 201, 225, 272, 296, 343, 367, 414, 438, 485, 509, 556, 580, 627, 651, 698, 722, 769, 793, 840, 864, 911, 935, 982, 1006, 1053, 1077, 1124, 1148, 1195, 1219, 1266, 1290, 1337, 1361, 1408, 1432, 1479, 1503, 1550, 1574, 1621, 1645
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OFFSET
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0,1
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LINKS
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FORMULA
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Sum_{n>=0} (-1)^n/a(n) = cot(12*Pi/71)*Pi/71. - Amiram Eldar, Feb 24 2023
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MATHEMATICA
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CoefficientList[Series[(12 + 47 x + 12 x^2)/((1 + x) (1 - x)^2), {x, 0, 50}], x] (* Vincenzo Librandi, Jun 06 2014 *)
LinearRecurrence[{1, 1, -1}, {12, 59, 83}, 50] (* Harvey P. Dale, Dec 09 2015 *)
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PROG
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(Magma) [(71/4)-(23/4)*(-1)^n+(71/2)*n: n in [0..50]]; // Vincenzo Librandi, Jun 06 2014
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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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EXTENSIONS
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STATUS
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approved
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