OFFSET
1,2
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>=0} Fibonacci(2*k+1)/(2*k+1)!.
Equals (e+1)*sinh(sqrt(5)/2)/sqrt(5*e). (End)
EXAMPLE
1.3776753274909465462115651210703917736958351560...
MATHEMATICA
f[x_] := Sinh[x]; r[n_] := Fibonacci[n];
c[n_] := SeriesCoefficient[Series[f[x], {x, 0, n}], n]
u1 = N[Sum[c[n]*r[n], {n, 0, 300}], 100]
RealDigits[u1, 10]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 14 2011
STATUS
approved