

A193027


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


3



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

1,1


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=1..100.


EXAMPLE

constant=7.239877331300900177324932223396161042590133469167...


MATHEMATICA

f[x_] := Exp[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] (* A193027 *)
u1 = N[Sum[c[n]*r[n], {n, 0, 100}], 100]
RealDigits[u1, 10] (* A193028 *)


CROSSREFS

Cf. A193010, A192232, A193028.
Sequence in context: A242671 A065476 A019945 * A248288 A248287 A233929
Adjacent sequences: A193024 A193025 A193026 * A193028 A193029 A193030


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Jul 14 2011


STATUS

approved



