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A288229
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Coefficients of 1/(Sum_{k>=0} [(k+1)*r](-x)^k), where r = Pi/2 and [ ] = floor.
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2
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1, 3, 5, 9, 18, 36, 72, 144, 287, 570, 1132, 2250, 4473, 8892, 17676, 35137, 69847, 138845, 276002, 548649, 1090629, 2168001, 4309649, 8566912, 17029689, 33852374, 67293256, 133768530, 265911039, 528589801, 1050754338, 2088736250, 4152082903, 8253695235
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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 = Pi/2 and [ ] = floor.
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MATHEMATICA
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r = Pi/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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