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A071757
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Expansion of (1+x^4*C^4)*C^4, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.
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1
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1, 4, 14, 48, 166, 580, 2046, 7280, 26104, 94248, 342380, 1250656, 4591122, 16929380, 62678910, 232916400, 868434000, 3247943160, 12181647780, 45807142560, 172664906700, 652291953768, 2469325506252, 9365937951328
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OFFSET
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0,2
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LINKS
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MATHEMATICA
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With[{c=(1-Sqrt[1-4x])/(2x)}, CoefficientList[Series[(1+x^4 c^4)c^4, {x, 0, 30}], x]] (* Harvey P. Dale, Jul 19 2016 *)
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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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