A198739 Decimal expansion of the absolute minimum of f(x)+f(2x)+f(3x)+f(4x), where f(x)=sin(x)+cos(x).

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

Offset

1,1

Comments

See A198735 for a guide to related sequences.

Links

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

Example

x=5.5154369780827950192498750534181150758000...
min=-3.4194065057629463327304557162112432637...

Mathematica

f[t_] := Sin[t] + Cos[t]
n = 4; s[t_] := Sum[f[k*t], {k, 1, n}]
x = N[Minimize[s[t], t], 110]; u = Part[x, 1]
v = t /. Part[x, 2]
RealDigits[u] (* A198739 *)
RealDigits[v] (* A198740 *)
Plot[s[t], {t, -3 Pi, 3 Pi}]

Crossrefs

Cf. A198735.

Sequence in context: A378913 A105578 A378227 * A158076 A010611 A136158

Adjacent sequences: A198736 A198737 A198738 * A198740 A198741 A198742

Keyword

nonn,cons

Author

Clark Kimberling, Oct 29 2011

Status

approved