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A193035 Decimal expansion of the coefficient of x in the reduction of 2^(-x) by x^2->x+1. 3
5, 4, 0, 6, 8, 2, 6, 4, 1, 9, 5, 8, 4, 8, 0, 3, 8, 3, 7, 7, 7, 4, 1, 0, 5, 5, 2, 7, 2, 4, 2, 2, 1, 3, 0, 1, 2, 4, 8, 5, 3, 2, 6, 9, 1, 1, 1, 1, 6, 8, 3, 2, 4, 5, 8, 9, 2, 4, 2, 2, 0, 4, 6, 0, 0, 1, 1, 2, 4, 2, 6, 6, 3, 6, 2, 3, 0, 3, 2, 9, 8, 4, 8, 6, 1, 1, 9, 1, 3, 0, 5, 0, 8, 7, 2, 7, 3, 3, 7, 3 (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

-0.540682641958480383777410552724221301248532691111...

MATHEMATICA

f[x_] := 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]  (* A193009 *)

u1 = N[Sum[c[n]*r[n], {n, 0, 100}], 100]

RealDigits[u1, 10]  (* A193035 *)

CROSSREFS

Cf. A193010, A192232, A193009.

Sequence in context: A197012 A200137 A197384 * A227966 A021653 A020847

Adjacent sequences:  A193032 A193033 A193034 * A193036 A193037 A193038

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Jul 14 2011

STATUS

approved

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Last modified April 9 10:51 EDT 2020. Contains 333348 sequences. (Running on oeis4.)