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A195774
Decimal expansion of arccot(6).
1
1, 6, 5, 1, 4, 8, 6, 7, 7, 4, 1, 4, 6, 2, 6, 8, 3, 8, 2, 7, 9, 1, 2, 8, 2, 8, 9, 6, 4, 3, 9, 4, 3, 4, 5, 3, 9, 9, 8, 3, 8, 6, 6, 6, 0, 4, 6, 5, 0, 2, 7, 8, 1, 9, 0, 1, 8, 0, 3, 4, 4, 3, 0, 0, 1, 1, 1, 4, 5, 6, 6, 2, 1, 7, 9, 8, 0, 5, 1, 4, 1, 4, 7, 4, 8, 8, 7, 1, 3, 7, 8, 9, 8, 7, 0, 0, 1, 0, 7, 8, 8, 9, 9, 9, 6, 5, 6, 4
OFFSET
0,2
FORMULA
Equals Integral_{x >= 0} exp(-6*x)*sin(x)/x dx. - Peter Bala, Nov 05 2019
From Amiram Eldar, Jun 05 2021: (Start)
Equals Pi/2 - A195773.
Equals arcsin(1/sqrt(37)) = arccos(6/sqrt(37)) = arctan(1/6). (End)
EXAMPLE
0.16514867741462683827912828964394345399...
MATHEMATICA
N[ArcCot[6], 108]
RealDigits[%] (* Felix Fröhlich, Jun 05 2021 *)
PROG
(PARI) atan(1/6) \\ Michel Marcus, Jun 05 2021
CROSSREFS
Cf. A195773.
Sequence in context: A046613 A372777 A296470 * A320833 A216582 A340543
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Sep 24 2011
EXTENSIONS
a(99) corrected by Georg Fischer, Jul 10 2021
STATUS
approved