A198746 Decimal expansion of the least x>0 that gives the absolute minimum of f(x)+f(2x), where f(x)=sin(x)-cos(x).

5, 8, 1, 2, 7, 3, 2, 1, 6, 9, 1, 3, 7, 8, 8, 4, 4, 4, 5, 4, 9, 2, 8, 7, 1, 8, 3, 0, 0, 0, 1, 5, 4, 2, 5, 3, 1, 6, 0, 0, 3, 2, 3, 3, 4, 3, 2, 4, 5, 2, 6, 8, 6, 6, 5, 4, 9, 5, 6, 0, 4, 5, 6, 1, 4, 8, 9, 0, 5, 5, 3, 3, 6, 3, 3, 5, 5, 6, 4, 6, 8, 5, 5, 0, 2, 4, 0, 2, 3, 7, 5, 9, 9, 0, 2, 8, 8, 3, 9

Offset

1,1

Comments

See A198745 for a guide to related sequences.

Links

Table of n, a(n) for n=1..99.

Index entries for transcendental numbers.

Example

x=5.81273216913788444549287183000...
min=-2.74180141084680805127601571...

Mathematica

f[t_] := Sin[t] + Cos[t]
x = Minimize[f[t] + f[2 t], t]
N[x, 30]
(RealDigits[N[{#1[[1]], t /. #1[[2]]}, 110]] &)[x]
Plot[f[t] + f[2 t], {t, -3 Pi, 3 Pi}]

Prog

(PARI) solve(x=5, 6, cos(x)+sin(x)+2*cos(2*x)+2*sin(2*x)) \\ Charles R Greathouse IV, May 17 2026

Crossrefs

Cf. A198745.

Sequence in context: A343784 A377523 A154856 * A021176 A275688 A330867

Adjacent sequences: A198743 A198744 A198745 * A198747 A198748 A198749

Keyword

nonn,cons

Author

Clark Kimberling, Oct 29 2011

Status

approved