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A248965 Decimal expansion for area bounded by x = 1, y = 1/x, and y = sin(1/x). 4
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 (list; constant; graph; refs; listen; history; text; internal format)
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: A140242 A156944 A227424 * A266152 A021127 A010155

Adjacent sequences:  A248962 A248963 A248964 * A248966 A248967 A248968

KEYWORD

nonn,easy,cons

AUTHOR

Clark Kimberling, Oct 18 2014

STATUS

approved

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Last modified June 28 09:49 EDT 2017. Contains 288813 sequences.