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 A193086 Decimal expansion of the coefficient of x in the reduction of (e^x)*sin(x) by x^2->x+1. 3
 2, 3, 9, 2, 5, 2, 8, 6, 5, 9, 2, 7, 2, 4, 2, 9, 0, 9, 7, 3, 8, 7, 4, 9, 2, 1, 1, 6, 5, 8, 9, 2, 2, 7, 7, 1, 9, 8, 4, 9, 9, 5, 5, 0, 1, 4, 5, 3, 6, 9, 6, 8, 6, 8, 6, 9, 2, 7, 7, 4, 8, 7, 9, 3, 5, 5, 3, 7, 5, 2, 1, 7, 6, 8, 8, 0, 0, 2, 3, 7, 4, 2, 1, 2, 5, 7, 9, 4, 2, 1, 4, 5, 3, 5, 9, 1, 0, 0, 8, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Reduction of a function f(x) by a substitution q(x)->s(x) is introduced at A193010. LINKS EXAMPLE 2.3925286592724290973874921165892277198499... MATHEMATICA f[x_] := Exp[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, 100}], 100] RealDigits[u0, 10]  (* A193085 *) u1 = N[Sum[c[n]*r[n], {n, 0, 100}], 100] RealDigits[u1, 10]  (* A193086 *) CROSSREFS Cf. A193010, A192232, A193085. Sequence in context: A030367 A028508 A021422 * A281289 A331388 A093319 Adjacent sequences:  A193083 A193084 A193085 * A193087 A193088 A193089 KEYWORD nonn,cons AUTHOR Clark Kimberling, Jul 15 2011 STATUS approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)