OFFSET
2,3
COMMENTS
Reduction of a function f(x) by a substitution q(x)->s(x) is introduced at A193010.
FORMULA
From Amiram Eldar, Jan 18 2022: (Start)
Equals Sum_{k>=1} 2^k*Fibonacci(k)/k!.
Equals 2*e*sinh(sqrt(5))/sqrt(5). (End)
EXAMPLE
11.244289366951194632995431729275126971...
MATHEMATICA
f[x_] := Exp[2 x]; r[n_] := Fibonacci[n];
c[n_] := SeriesCoefficient[Series[f[x], {x, 0, n}], n]
u1 = N[Sum[c[n]*r[n], {n, 0, 100}], 100]
RealDigits[u1, 10]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 14 2011
EXTENSIONS
Offset corrected by Amiram Eldar, Jan 18 2022
STATUS
approved