A198736 Decimal expansion of the least x>0 that gives the absolute minimum of f(x)+f(2x), where f(x)=sin(x)+cos(x).

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

Offset

1,1

Comments

See A198735 for a guide to related sequences.

Links

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

Example

x=4.89312267296329905539673190581...
min=-2.09298678025110342592267820...

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}]

Crossrefs

Cf. A198735.

Sequence in context: A340721 A096412 A153109 * A117180 A301639 A123531

Adjacent sequences: A198733 A198734 A198735 * A198737 A198738 A198739

Keyword

nonn,cons

Author

Clark Kimberling, Oct 29 2011

Status

approved