A193084 - OEIS

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A193084

Decimal expansion of the coefficient of x in the reduction of (e^x)*cos(x) by x^2->x+1.

3, 0, 2, 9, 5, 8, 8, 7, 1, 4, 3, 3, 6, 2, 6, 0, 0, 1, 1, 9, 7, 5, 8, 4, 9, 8, 0, 2, 3, 5, 4, 8, 1, 1, 3, 6, 5, 2, 9, 3, 9, 1, 8, 9, 2, 1, 9, 5, 4, 7, 5, 9, 8, 1, 0, 0, 5, 2, 4, 4, 4, 4, 7, 6, 5, 9, 5, 1, 2, 9, 6, 5, 6, 8, 4, 9, 8, 4, 8, 7, 2, 3, 9, 3, 2, 3, 1, 0, 8, 4, 8, 6, 2, 6, 2, 0, 4, 0, 7, 1

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

Reduction of a function f(x) by a substitution q(x)->s(x) is introduced at A193010.

LINKS

Table of n, a(n) for n=0..99.

EXAMPLE

-0.3029588714336260011975849802354811365293918921...

MATHEMATICA

f[x_] := Exp[x] Cos[x]; r[n_] := Fibonacci[n];

c[n_] := SeriesCoefficient[Series[f[x], {x, 0, n}], n]