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A132308
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a(n) = 2*3^n - n - 1.
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3
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1, 4, 15, 50, 157, 480, 1451, 4366, 13113, 39356, 118087, 354282, 1062869, 3188632, 9565923, 28697798, 86093425, 258280308, 774840959, 2324522914, 6973568781, 20920706384, 62762119195, 188286357630, 564859072937, 1694577218860
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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EXAMPLE
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a(2) = 15 = sum of row 2 terms of triangle A132307: (7 + 7 + 1).
a(2) = 15 = (1, 2, 1) dot (1, 3, 8) = (1 + 6 + 8); where A077552 = (1, 3, 8, 16, 32, 64, ...).
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MAPLE
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MATHEMATICA
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Table[2*3^n-n-1, {n, 0, 30}] (* or *) LinearRecurrence[{5, -7, 3}, {1, 4, 15}, 30] (* Harvey P. Dale, Aug 06 2013 *)
CoefficientList[Series[(1 - x + 2 x^2)/((1 - 3 x) (1 - x)^2), {x, 0, 50}], x] (* Vincenzo Librandi, Mar 27 2014 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Wrong formula 2*n^3-n-1 removed by Rolf Pleisch, Oct 19 2010
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STATUS
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approved
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