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 A193027 Decimal expansion of the constant term of the reduction of e^(2x) by x^2->x+1. 3
 7, 2, 3, 9, 8, 7, 7, 3, 3, 1, 3, 0, 0, 9, 0, 0, 1, 7, 7, 3, 2, 4, 9, 3, 2, 2, 2, 3, 3, 9, 6, 1, 6, 1, 0, 4, 2, 5, 9, 0, 1, 3, 3, 4, 6, 9, 1, 6, 7, 8, 8, 1, 3, 4, 6, 1, 0, 3, 0, 8, 8, 0, 9, 0, 1, 1, 9, 1, 0, 1, 2, 1, 1, 5, 7, 9, 3, 8, 8, 4, 9, 2, 0, 5, 8, 7, 9, 3, 1, 7, 7, 2, 9, 8, 3, 9, 6, 4, 3, 3 (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 constant=7.239877331300900177324932223396161042590133469167... MATHEMATICA f[x_] := Exp[2 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]  (* A193027 *) u1 = N[Sum[c[n]*r[n], {n, 0, 100}], 100] RealDigits[u1, 10]  (* A193028  *) CROSSREFS Cf. A193010, A192232, A193028. Sequence in context: A242671 A065476 A019945 * A248288 A248287 A233929 Adjacent sequences:  A193024 A193025 A193026 * A193028 A193029 A193030 KEYWORD nonn,cons AUTHOR Clark Kimberling, Jul 14 2011 STATUS approved

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