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A193083
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Decimal expansion of the constant term of the reduction of (e^x)*cos(x) by x^2->x+1.
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3
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2, 5, 2, 0, 5, 8, 9, 8, 4, 0, 6, 6, 7, 7, 5, 3, 6, 2, 7, 4, 2, 5, 8, 4, 7, 7, 8, 2, 5, 2, 4, 7, 8, 2, 9, 4, 3, 6, 5, 9, 0, 9, 7, 1, 1, 8, 9, 8, 5, 9, 3, 9, 3, 2, 8, 1, 9, 7, 8, 4, 2, 6, 4, 8, 5, 2, 3, 1, 6, 8, 8, 8, 4, 8, 6, 2, 8, 1, 9, 2, 3, 3, 5, 3, 8, 7, 9, 8, 3, 3, 1, 7, 6, 1, 6, 8, 7, 5, 2, 1
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OFFSET
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0,1
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COMMENTS
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Reduction of a function f(x) by a substitution q(x)->s(x) is introduced at A193010.
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LINKS
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EXAMPLE
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constant=0.25205898406677536274258477825247829436590...
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MATHEMATICA
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f[x_] := Exp[x] Cos[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]
u1 = N[Sum[c[n]*r[n], {n, 0, 100}], 100]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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