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A308371
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G.f. A(x) satisfies: A(x) = x * Product_{k>=1} 1/(1 - k*A(x^k)).
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3
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1, 1, 4, 12, 42, 135, 500, 1797, 6885, 26612, 105561, 423734, 1726531, 7101261, 29486169, 123341520, 519422274, 2199966624, 9365714175, 40052639066, 171985425594, 741214499791, 3205096564624, 13901238793616, 60460193311425, 263627546862787, 1152207975128287
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OFFSET
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1,3
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LINKS
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FORMULA
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G.f. A(x) satisfies: A(x) = x * exp(Sum_{k>=1} Sum_{d|k} d * (d * A(x^d))^(k/d) / k).
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MATHEMATICA
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terms = 27; A[_] = 0; Do[A[x_] = x Product[1/(1 - k A[x^k]), {k, 1, terms}] + O[x]^(terms + 1) // Normal, terms + 1]; CoefficientList[A[x], x] // Rest
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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