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A108734
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Expansion of (1 + 24*x)^(1/2).
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0
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1, 12, -72, 864, -12960, 217728, -3919104, 73903104, -1441110528, 28822210560, -587973095424, 12187078705152, -255928652808192, 5433562167312384, -116433475013836800, 2514963060298874880, -54700446561500528640, 1196974477698717450240, -26333438509371783905280, 582107588101902591590400
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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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D-finite with recurrence: n*a(n) +12*(2*n-3)*a(n-1)=0. - R. J. Mathar, Jan 20 2020
Sum_{n>=0} 1/a(n) = (672 - 72*arcsinh(1/(2*sqrt(6)))/5)/625.
Sum_{n>=0} 1/a(n) = (480 - 72*arcsin(1/(2*sqrt(6)))/sqrt(23))/529.
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MATHEMATICA
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CoefficientList[Series[(1 + 24 x)^(1/2), {x, 0, 20}], x] (* Vincenzo Librandi, Jan 21 2020 *)
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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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