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A193017 Decimal expansion of the constant term of the reduction of coshh(x) by x^2->x+1. 3
1, 5, 9, 0, 6, 0, 9, 7, 5, 6, 4, 0, 6, 4, 6, 1, 4, 6, 2, 9, 6, 9, 7, 9, 3, 1, 1, 9, 9, 9, 9, 5, 8, 2, 9, 1, 6, 5, 1, 8, 3, 5, 3, 6, 7, 5, 0, 3, 1, 0, 6, 0, 7, 0, 6, 1, 3, 5, 5, 4, 1, 8, 1, 3, 4, 7, 4, 4, 4, 6, 7, 8, 3, 2, 3, 6, 8, 4, 4, 5, 1, 0, 5, 4, 2, 3, 3, 7, 6, 6, 0, 4, 2, 0, 0, 7, 9, 8, 4, 8 (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

constant=1.5906097564064614629697931199995829165183536750...

MATHEMATICA

f[x_] := Cosh[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]  (* A193017 *)

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

RealDigits[u1, 10]  (* A193025 *)

CROSSREFS

Cf. A193010, A192232, A193025.

Sequence in context: A102521 A198615 A195372 * A277651 A096789 A261623

Adjacent sequences:  A193014 A193015 A193016 * A193018 A193019 A193020

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Jul 14 2011

STATUS

approved

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Last modified August 22 07:17 EDT 2019. Contains 326172 sequences. (Running on oeis4.)