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A193079 Decimal expansion of the constant term of the reduction of sinh(2x) by x^2->x+1. 3
2, 3, 6, 9, 1, 5, 8, 6, 9, 7, 9, 0, 0, 0, 9, 4, 4, 4, 0, 4, 6, 8, 2, 7, 2, 8, 0, 2, 2, 5, 8, 3, 8, 5, 2, 5, 8, 6, 9, 8, 0, 1, 3, 7, 7, 5, 3, 7, 9, 1, 7, 7, 2, 0, 3, 0, 0, 5, 9, 1, 4, 2, 3, 8, 5, 4, 2, 3, 7, 6, 8, 5, 7, 0, 7, 5, 7, 9, 9, 8, 5, 9, 2, 2, 3, 3, 8, 9, 0, 0, 0, 6, 0, 1, 8, 0, 2, 1, 8, 2 (list; constant; graph; refs; listen; history; text; internal format)
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=2.3691586979000944404682728022583852586980...

MATHEMATICA

f[x_] := Sinh[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]  (* A193079 *)

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

RealDigits[u1, 10]  (* A193080 *)

CROSSREFS

Cf. A193010, A192232, A193080.

Sequence in context: A103964 A199790 A088329 * A191397 A087494 A328843

Adjacent sequences:  A193076 A193077 A193078 * A193080 A193081 A193082

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Jul 15 2011

STATUS

approved

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Last modified July 8 00:40 EDT 2020. Contains 335502 sequences. (Running on oeis4.)