A195793 - OEIS

A195793

Decimal expansion of arctan(1000000).

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

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OFFSET

1,2

COMMENTS

pi/2-arctan(1000000)<1/1000000; the first nonzero digits of pi/2-arctan(1000000) are as follows:

999999999999666666666666866666666666. The twelve 6's before 8 correspond to the limit shown at the end of the Mathematica program. What about the next eleven 6's?

LINKS

Table of n, a(n) for n=1..100.

Index entries for transcendental numbers

EXAMPLE

Let x=pi/2 and y=arc(1000000); then

x=1.57079632679489661923132169163975144209858469968755291048...

y=1.57079532679489661956465502497288477543191817587802910085...

x-y=0.000000099999999999966666666666686666666666652380963492...

MATHEMATICA

N[Pi/2, 100]

N[ArcTan[10^6], 100]

RealDigits[%] (* A195793 *)