# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a198613 Showing 1-1 of 1 %I A198613 #8 Aug 01 2021 11:05:24 %S A198613 3,3,9,7,0,7,6,2,3,5,2,7,0,9,1,3,0,3,2,1,7,1,6,3,0,0,8,6,9,3,5,9,4,3, %T A198613 8,3,9,6,9,3,5,9,3,6,7,5,6,3,6,0,2,4,4,0,5,8,0,7,0,5,4,8,6,5,1,8,0,7, %U A198613 7,7,8,7,2,3,9,1,6,3,2,3,0,1,6,6,4,2,9,6,6,4,4,7,8,4,5,9,7,1,9 %N A198613 Decimal expansion of x < 0 satisfying 3*x^2+2*x = sin(x). %C A198613 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %e A198613 -0.3397076235270913032171630086935943839693... %t A198613 a = 3; b = 2; c = 1; %t A198613 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198613 Plot[{f[x], g[x]}, {x, -.5, .1}] %t A198613 r = x /. FindRoot[f[x] == g[x], {x, -.34, -.33}, WorkingPrecision -> 110] %t A198613 RealDigits[r](* A198613 *) %Y A198613 Cf. A198414. %K A198613 nonn,cons %O A198613 0,1 %A A198613 _Clark Kimberling_, Oct 28 2011 %E A198613 Offset corrected by _Georg Fischer_, Aug 01 2021 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE