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 A201591 Decimal expansion of least x satisfying 6*x^2 = csc(x) and 0 < x < Pi. 3
 5, 6, 0, 1, 0, 0, 6, 9, 4, 9, 1, 2, 1, 6, 0, 7, 6, 2, 8, 2, 3, 8, 4, 1, 3, 3, 3, 7, 9, 7, 8, 1, 2, 0, 7, 7, 5, 2, 9, 3, 7, 4, 5, 0, 3, 0, 3, 0, 8, 9, 6, 4, 1, 1, 5, 5, 8, 6, 1, 2, 2, 0, 4, 3, 0, 9, 0, 6, 7, 5, 9, 1, 6, 2, 1, 5, 6, 4, 8, 3, 3, 1, 4, 0, 8, 0, 7, 1, 6, 1, 7, 3, 2, 2, 0, 2, 3, 8, 9, 3, 3 (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:  0.56010069491216076282384133379781207752937450... greatest:  3.12451991250138769396880196501162499414487... MATHEMATICA a = 6; c = 0; 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, .5, .6}, WorkingPrecision -> 110] RealDigits[r]   (* A201591 *) r = x /. FindRoot[f[x] == g[x], {x, 3.1, 3.14}, WorkingPrecision -> 110] RealDigits[r]   (* A201653 *) PROG (PARI) a=6; c=0; solve(x=0.5, 1, a*x^2 + c - 1/sin(x)) \\ G. C. Greubel, Aug 22 2018 CROSSREFS Cf. A201564. Sequence in context: A110800 A021645 A031364 * A100220 A011440 A242055 Adjacent sequences:  A201588 A201589 A201590 * A201592 A201593 A201594 KEYWORD nonn,cons AUTHOR Clark Kimberling, Dec 03 2011 EXTENSIONS Terms a(90) onward corrected by G. C. Greubel, Aug 22 2018 STATUS approved

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Last modified February 17 12:29 EST 2020. Contains 331996 sequences. (Running on oeis4.)