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A193082 Decimal expansion of the coefficient of x in the reduction of cosh(2x) by x^2->x+1. 3
4, 8, 6, 1, 2, 7, 0, 1, 4, 0, 3, 4, 0, 2, 1, 1, 1, 4, 2, 3, 0, 0, 7, 5, 8, 0, 9, 7, 6, 6, 4, 9, 2, 3, 7, 1, 2, 1, 7, 5, 4, 3, 9, 0, 0, 6, 8, 9, 0, 7, 1, 9, 8, 6, 0, 7, 7, 7, 3, 2, 1, 0, 7, 2, 6, 6, 0, 4, 0, 0, 8, 4, 1, 0, 3, 2, 7, 5, 0, 7, 6, 8, 4, 6, 2, 7, 2, 8, 9, 6, 0, 3, 3, 8, 7, 7, 4, 4, 0, 3 (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

4.86127014034021114230075809766492371...

MATHEMATICA

f[x_] := Cosh[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]  (* A193081 *)

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

RealDigits[u1, 10]  (* A193082 *)

CROSSREFS

Cf. A193010, A192232, A193081.

Sequence in context: A005133 A198241 A175475 * A201335 A219246 A296488

Adjacent sequences:  A193079 A193080 A193081 * A193083 A193084 A193085

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Jul 15 2011

STATUS

approved

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Last modified November 17 18:42 EST 2018. Contains 317276 sequences. (Running on oeis4.)