

A193087


Decimal expansion of the constant term of the reduction of (cos(x))^2 by x^2>x+1.


3



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

constant=0.48127666131507080300697222296113439695...


MATHEMATICA

f[x_] := Cos[x]^2; 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] (* A193087 *)
u1 = N[Sum[c[n]*r[n], {n, 0, 100}], 100]
RealDigits[u1, 10] (* A193088 *)


CROSSREFS

Cf. A193010, A192232, A193088.
Sequence in context: A154520 A244690 A002390 * A201404 A122149 A254149
Adjacent sequences: A193084 A193085 A193086 * A193088 A193089 A193090


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Jul 15 2011


STATUS

approved



