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 A199280 Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=1. 3
 4, 4, 6, 2, 5, 9, 8, 1, 1, 7, 7, 1, 7, 6, 5, 9, 5, 6, 2, 9, 6, 1, 7, 0, 1, 2, 1, 1, 9, 9, 0, 9, 2, 3, 2, 6, 4, 4, 6, 9, 3, 5, 0, 9, 1, 3, 3, 4, 1, 2, 7, 9, 6, 9, 8, 5, 4, 2, 0, 8, 6, 8, 5, 2, 6, 6, 8, 9, 8, 0, 6, 4, 5, 2, 4, 2, 4, 1, 6, 3, 6, 5, 8, 4, 1, 9, 3, 0, 5, 1, 1, 2, 4, 0, 2, 6, 1, 6, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS See A199170 for a guide to related sequences. The Mathematica program includes a graph. LINKS Table of n, a(n) for n=0..98. EXAMPLE negative: -0.7165503839061782023923880301835513... positive: 0.4462598117717659562961701211990923... MATHEMATICA Remove["Global`*"]; a = 3; b = 1; c = 1; f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}] r = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110] RealDigits[r] (* A199279 *) r = x /. FindRoot[f[x] == g[x], {x, .44, .45}, WorkingPrecision -> 110] RealDigits[r] (* A199280 *) CROSSREFS Cf. A199170. Sequence in context: A200348 A205868 A156583 * A086171 A090113 A073821 Adjacent sequences: A199277 A199278 A199279 * A199281 A199282 A199283 KEYWORD nonn,cons AUTHOR Clark Kimberling, Nov 04 2011 STATUS approved

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Last modified December 3 18:21 EST 2023. Contains 367540 sequences. (Running on oeis4.)