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A232272
Decimal expansion of the arctan of 1/Pi.
3
3, 0, 8, 1, 6, 9, 0, 7, 1, 1, 1, 5, 9, 8, 4, 9, 3, 5, 7, 8, 6, 9, 9, 9, 6, 0, 8, 0, 3, 4, 0, 5, 3, 0, 9, 8, 5, 8, 9, 6, 3, 7, 0, 2, 9, 2, 6, 3, 1, 6, 9, 3, 1, 3, 5, 1, 3, 6, 6, 2, 3, 4, 3, 9, 0, 1, 6, 8, 2, 9, 0, 0, 4, 5, 1, 3, 7, 0, 5, 3, 3, 9, 6, 8, 9
OFFSET
0,1
FORMULA
Equals A019669 - A232273.
Equals Sum_{i>=0} (-1)^k/((1+2*k)*Pi^(1+2*k)).
From Wolfe Padawer, Feb 16 2023: (Start)
Equals arccot(Pi).
Equals arcsin(1/sqrt(Pi^2 + 1)).
Equals arccos(1/sqrt(1 + 1/Pi^2)). (End)
EXAMPLE
0.30816907111598493578699960803405309858963702926316931351366234390168...
MATHEMATICA
RealDigits[ArcTan[1/Pi], 10, 90][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Bruno Berselli, Nov 22 2013
STATUS
approved