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A242022
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Decimal expansion of the asymptotic growth rate of the number of odd coefficients in Pascal quintinomial triangle mod 2.
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4
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7, 8, 9, 6, 4, 1, 8, 5, 0, 5, 3, 0, 7, 6, 8, 5, 6, 3, 9, 0, 1, 5, 4, 7, 2, 6, 7, 0, 6, 6, 4, 1, 4, 0, 1, 8, 9, 9, 0, 8, 2, 9, 5, 5, 3, 5, 9, 2, 6, 8, 3, 8, 9, 3, 5, 2, 3, 6, 5, 3, 8, 7, 9, 4, 6, 2, 2, 3, 6, 9, 5, 8, 7, 4, 9, 0, 3, 0, 1, 9, 3, 4, 9, 7, 8, 8, 9, 0, 8, 4, 0, 7, 7, 8, 4, 2, 9, 4, 4, 6
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OFFSET
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0,1
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LINKS
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FORMULA
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log(abs(mu))/log(2) - 1, where mu is the root of x^4 - x^3 - 6*x^2 - 4*x - 16 with maximum modulus.
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EXAMPLE
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0.7896418505307685639015472670664140189908295535926838935...
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MATHEMATICA
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mu = Sort[Table[Root[x^4 - x^3 - 6*x^2 - 4*x - 16, x, n], {n, 1, 4}], N[Abs[#1]] < N[Abs[#2]] &] // Last; RealDigits[Log[mu]/Log[2] - 1, 10, 100] // First
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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