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A193011
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Decimal expansion of the constant term of the reduction of sin(x) by x^2->x+1.
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3
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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
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OFFSET
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0,2
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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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Table of n, a(n) for n=0..99.
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EXAMPLE
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The constant: -0.143197452910080232641503647724641084990...
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A193010, A192232, A193012.
Sequence in context: A196841 A165732 A197698 * A214859 A123160 A039758
Adjacent sequences: A193008 A193009 A193010 * A193012 A193013 A193014
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Jul 14 2011
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STATUS
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approved
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