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A106206
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Coefficients of (1 + 144*x)^(1/24).
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0
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1, 6, -414, 38916, -4144554, 472479156, -56225019564, 6891580969416, -863170516419354, 109910379090731076, -14178438902704308804, 1848352853316179893176, -243058400211077655952644
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (1 + 144*x)^(1/24).
D-finite with recurrence: n*a(n) +6*(24*n-25)*a(n-1)=0. - R. J. Mathar, Jan 20 2020
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EXAMPLE
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G.f. = 1 + 6*x - 414*x^2 + 38916*x^3 - 4144554*x^4 + 472479156*x^5 + ...
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MATHEMATICA
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CoefficientList[Series[(1+144x)^(1/24), {x, 0, 20}], x] (* Harvey P. Dale, Dec 17 2013 *)
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PROG
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(PARI) {a(n) = if( n<0, 0, polcoeff( (1 + 144*x + x * O(x^n))^(1/24), n))};
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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