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A176398
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Decimal expansion of 3+sqrt(10).
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13
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6, 1, 6, 2, 2, 7, 7, 6, 6, 0, 1, 6, 8, 3, 7, 9, 3, 3, 1, 9, 9, 8, 8, 9, 3, 5, 4, 4, 4, 3, 2, 7, 1, 8, 5, 3, 3, 7, 1, 9, 5, 5, 5, 1, 3, 9, 3, 2, 5, 2, 1, 6, 8, 2, 6, 8, 5, 7, 5, 0, 4, 8, 5, 2, 7, 9, 2, 5, 9, 4, 4, 3, 8, 6, 3, 9, 2, 3, 8, 2, 2, 1, 3, 4, 4, 2, 4, 8, 1, 0, 8, 3, 7, 9, 3, 0, 0, 2, 9, 5, 1, 8, 7, 3, 4
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OFFSET
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1,1
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COMMENTS
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Continued fraction expansion of 3+sqrt(10) is A010722.
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LINKS
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FORMULA
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Equals exp(arcsinh(3)), since arcsinh(x) = log(x+sqrt(x^2+1)). - Stanislav Sykora, Nov 01 2013
Equals lim_{n->oo} S(n, 2*sqrt(10))/ S(n-1, 2*sqrt(10)), with the S-Chebyshev polynomials (see A049310). - Wolfdieter Lang, Nov 15 2023
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EXAMPLE
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6.16227766016837933199...
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MAPLE
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MATHEMATICA
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r=6; t=(r+(4+r^2)^(1/2))/2; RealDigits[N[t, 130]][[1]] (* Clark Kimberling, Apr 09 2011 *)
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PROG
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CROSSREFS
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Cf. A010467 (decimal expansion of sqrt(10)), A010722 (all 6's sequence).
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KEYWORD
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AUTHOR
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STATUS
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approved
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