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 A201674 Decimal expansion of least x satisfying 7*x^2 - 1 = csc(x) and 0
 6, 2, 2, 7, 2, 7, 0, 9, 4, 3, 1, 3, 6, 9, 5, 1, 0, 3, 7, 9, 5, 0, 3, 9, 9, 3, 9, 2, 8, 6, 5, 2, 2, 8, 9, 0, 1, 3, 8, 6, 1, 8, 3, 1, 8, 7, 7, 3, 8, 7, 6, 7, 8, 7, 6, 6, 7, 6, 5, 5, 3, 8, 3, 7, 6, 3, 8, 3, 2, 5, 8, 1, 7, 2, 4, 1, 3, 6, 6, 9, 8, 0, 6, 9, 0, 3, 0, 9, 2, 9, 6, 2, 6, 6, 8, 6, 3, 8, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS See A201564 for a guide to related sequences.  The Mathematica program includes a graph. LINKS G. C. Greubel, Table of n, a(n) for n = 0..10000 EXAMPLE least:  0.62272709431369510379503993928652289013... greatest:  3.12676335481784395832471054304139350... MATHEMATICA a = 7; c = -1; f[x_] := a*x^2 + c; g[x_] := Csc[x] Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}] r = x /. FindRoot[f[x] == g[x], {x, .6, .7}, WorkingPrecision -> 110] RealDigits[r]     (* A201674 *) r = x /. FindRoot[f[x] == g[x], {x, 3.0, 3.14}, WorkingPrecision -> 110] RealDigits[r]     (* A201675 *) PROG (PARI) a=7; c=-1; solve(x=0.5, 1, a*x^2 + c - 1/sin(x)) \\ G. C. Greubel, Sep 12 2018 CROSSREFS Cf. A201564. Sequence in context: A169684 A259838 A256576 * A093497 A092138 A138995 Adjacent sequences:  A201671 A201672 A201673 * A201675 A201676 A201677 KEYWORD nonn,cons AUTHOR Clark Kimberling, Dec 04 2011 STATUS approved

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Last modified December 16 00:33 EST 2019. Contains 330013 sequences. (Running on oeis4.)