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A248967 Decimal expansion for area bounded by x = 1, y = 1/x, and y = tan(1/x). 4
2, 1, 3, 0, 7, 5, 9, 0, 5, 4, 6, 5, 3, 9, 2, 3, 0, 7, 4, 7, 9, 6, 3, 8, 0, 7, 6, 8, 2, 5, 7, 6, 5, 6, 8, 8, 2, 0, 7, 8, 6, 9, 6, 5, 9, 6, 5, 7, 0, 7, 6, 8, 6, 2, 9, 8, 6, 1, 6, 1, 1, 1, 1, 8, 5, 0, 1, 6, 1, 9, 4, 9, 2, 2, 7, 6, 5, 8, 0, 7, 9, 6, 6, 9, 1, 2 (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 v = w - u.

EXAMPLE

area = 0.21307590546539230747963807682...

MAPLE

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

MATHEMATICA

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

N[v, 100]

s = RealDigits[N[v, 200]][[1]] (* A248967 *)

Plot[{Tan[1/x], 1/x}, {x, 1, 4}]

CROSSREFS

Cf. A248965, A248966, A248968.

Sequence in context: A078024 A112469 A249455 * A160169 A117778 A072127

Adjacent sequences:  A248964 A248965 A248966 * A248968 A248969 A248970

KEYWORD

nonn,easy,cons

AUTHOR

Clark Kimberling, Oct 18 2014

STATUS

approved

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Last modified August 17 06:03 EDT 2017. Contains 290635 sequences.