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A248968 Decimal expansion for area bounded by x = 1, y = sin(1/x), and y = tan(1/x). 5
2, 9, 4, 3, 5, 8, 6, 3, 2, 2, 7, 3, 8, 5, 3, 5, 4, 0, 0, 7, 6, 0, 0, 6, 2, 8, 4, 6, 4, 9, 3, 1, 6, 3, 4, 8, 8, 7, 5, 0, 1, 4, 0, 2, 3, 8, 0, 9, 6, 3, 9, 6, 3, 2, 6, 6, 3, 3, 6, 1, 5, 1, 4, 2, 9, 0, 8, 0, 9, 7, 5, 0, 3, 7, 1, 5, 0, 6, 3, 6, 6, 6, 5, 7, 8, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..300

FORMULA

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

EXAMPLE

area = 0.294358632273853540076006284649...

MAPLE

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

MATHEMATICA

v = Integrate[Tan[1/x] - Sin[1/x], {x, 1, Infinity}]

N[v, 100]

s = RealDigits[N[v, 200]][[1]] (* A248968 *)

Plot[{Tan[1/x], Sin[1/x]}, {x, 1, Pi}]

CROSSREFS

Cf. A248965, A248966, A248967.

Sequence in context: A011067 A135008 A200014 * A097881 A019758 A016642

Adjacent sequences:  A248965 A248966 A248967 * A248969 A248970 A248971

KEYWORD

nonn,easy,cons

AUTHOR

Clark Kimberling, Oct 18 2014

STATUS

approved

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Last modified May 23 19:46 EDT 2017. Contains 286926 sequences.