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 A193011 Decimal expansion of the constant term of the reduction of sin(x) by x^2->x+1. 3
 1, 4, 3, 1, 9, 7, 4, 5, 2, 9, 1, 0, 0, 8, 0, 2, 3, 2, 6, 4, 1, 5, 0, 3, 6, 4, 7, 7, 2, 4, 6, 4, 1, 0, 8, 4, 9, 9, 0, 8, 8, 9, 2, 8, 6, 2, 3, 8, 9, 1, 3, 5, 5, 1, 7, 4, 6, 3, 3, 8, 8, 6, 4, 3, 3, 5, 0, 1, 0, 7, 1, 2, 6, 6, 1, 3, 3, 6, 4, 0, 8, 9, 0, 9, 5, 6, 1, 9, 7, 3, 1, 0, 8, 5, 2, 8, 5, 9, 1, 0 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Reduction of a function f(x) by a substitution q(x)->s(x) is introduced at A193010. LINKS EXAMPLE The constant: -0.143197452910080232641503647724641084990... MATHEMATICA f[x_] := Sin[x]; r[n_] := Fibonacci[n]; c[n_] := SeriesCoefficient[Series[f[x], {x, 0, n}], n] u0 = N[Sum[c[n]*r[n - 1], {n, 0, 200}], 100] RealDigits[u0, 10]  (* A193011 *) u1 = N[Sum[c[n]*r[n], {n, 0, 200}], 100] RealDigits[u1, 10]  (* A193012 *) CROSSREFS Cf. A193010, A192232, A193012. Sequence in context: A196841 A165732 A197698 * A214859 A123160 A109692 Adjacent sequences:  A193008 A193009 A193010 * A193012 A193013 A193014 KEYWORD nonn,cons AUTHOR Clark Kimberling, Jul 14 2011 STATUS approved

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Last modified August 13 06:22 EDT 2020. Contains 336442 sequences. (Running on oeis4.)