A248965 Decimal expansion of area bounded by x = 1, y = 1/x, and y = sin(1/x).

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

Offset

0,2

Links

Clark Kimberling, Table of n, a(n) for n = 0..1000

Formula

Let u,v,w be the constants at A248965, A248967, and A248968, respectively. Then u = w - v.

Example

area = 0.0812827268084612325963682078235506606...

Maple

evalf(int(1/x-sin(1/x), x = 1..infinity), 120); # Vaclav Kotesovec, Oct 20 2014

Mathematica

v = Integrate[1/x - Sin[1/x], {x, 1, Infinity}]
N[v, 1000]
s = Join[{0}, RealDigits[N[v, 1000]][[1]] ](* A248965 *)
Plot[{1/x, Sin[1/x]}, {x, 1, 4}]

Crossrefs

Cf. A248966, A248967, A248968.

Sequence in context: A156944 A371855 A227424 * A266152 A021127 A010155

Adjacent sequences: A248962 A248963 A248964 * A248966 A248967 A248968

Keyword

nonn,easy,cons

Author

Clark Kimberling, Oct 18 2014

Status

approved