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A193016 Decimal expansion of the coefficient of x in the reduction of sinh(x) by x^2->x+1. 3
1, 3, 7, 7, 6, 7, 5, 3, 2, 7, 4, 9, 0, 9, 4, 6, 5, 4, 6, 2, 1, 1, 5, 6, 5, 1, 2, 1, 0, 7, 0, 3, 9, 1, 7, 7, 3, 6, 9, 5, 8, 3, 5, 1, 5, 6, 0, 4, 1, 3, 1, 2, 2, 0, 0, 2, 6, 7, 3, 2, 1, 5, 9, 2, 5, 7, 6, 0, 2, 5, 7, 9, 2, 0, 9, 9, 3, 9, 1, 1, 3, 0, 2, 1, 8, 1, 0, 8, 8, 7, 7, 0, 5, 3, 3, 3, 0, 5, 3, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

1.3776753274909465462115651210703917736958351560...

MATHEMATICA

f[x_] := Sinh[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, 300}], 100]

RealDigits[u0, 10]  (* A193015 *)

u1 = N[Sum[c[n]*r[n], {n, 0, 300}], 100]

RealDigits[u1, 10]  (* A193016 *)

CROSSREFS

Cf. A193010, A192232, A193015.

Sequence in context: A246848 A019634 A123879 * A325894 A176269 A081522

Adjacent sequences:  A193013 A193014 A193015 * A193017 A193018 A193019

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Jul 14 2011

STATUS

approved

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Last modified April 3 17:03 EDT 2020. Contains 333197 sequences. (Running on oeis4.)