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A288230
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Coefficients of 1/(Sum_{k>=0} [(k+1)*r](-x)^k), where r = Sqrt[5/2] and [ ] = floor.
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2
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1, 3, 5, 9, 18, 36, 71, 138, 268, 522, 1017, 1980, 3853, 7498, 14594, 28406, 55287, 107604, 209428, 407608, 793325, 1544042, 3005154, 5848902, 11383662, 22155913, 43121842, 83927627, 163347533, 317921733, 618768013, 1204302235, 2343921860, 4561952576
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OFFSET
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0,2
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COMMENTS
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Conjecture: the sequence is strictly increasing.
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LINKS
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FORMULA
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G.f.: 1/(Sum_{k>=0} [(k+1)*r)](-x)^k), where r = sqrt(5/2) and [ ] = floor.
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MATHEMATICA
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r = Sqrt[5/2];
u = 1000; (* # initial terms from given series *)
v = 100; (* # coefficients in reciprocal series *)
CoefficientList[Series[1/Sum[Floor[r*(k + 1)] (-x)^k, {k, 0, u}], {x, 0, v}], x]
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CROSSREFS
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Cf. A078140 (includes guide to related sequences).
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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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