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A242048
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Decimal expansion of the asymptotic growth rate of the number of odd coefficients in Pascal "septinomial" triangle mod 2, where coefficients are from (1+x+...+x^5+x^6)^n.
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1
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8, 3, 1, 7, 9, 6, 3, 9, 6, 7, 3, 4, 4, 4, 0, 6, 8, 9, 9, 9, 3, 8, 9, 3, 1, 0, 7, 4, 5, 8, 6, 6, 8, 9, 5, 7, 3, 2, 5, 9, 2, 8, 5, 5, 8, 5, 0, 2, 1, 3, 7, 7, 2, 2, 0, 5, 5, 3, 5, 0, 0, 4, 2, 1, 6, 0, 7, 8, 0, 6, 2, 5, 8, 3, 6, 6, 4, 4, 6, 5, 7, 6, 3, 6, 4, 8, 7, 7, 5, 2, 3, 1, 9, 6, 9, 8, 8, 6, 0, 3, 0, 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^6 - x^5 - 2*x^4 - 28*x^3 + 16*x + 64 with maximum modulus.
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EXAMPLE
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0.83179639673444068999389310745866895732592855850213772205535...
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MATHEMATICA
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mu = Sort[Table[Root[x^6 - x^5 - 2*x^4 - 28*x^3 + 16*x + 64, x, n], {n, 1, 5}], N[Abs[#1]] < N[Abs[#2]]&] // Last; RealDigits[Log[mu]/Log[2] - 1, 10, 102] // 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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