|
|
A343056
|
|
Decimal expansion of the real part of i^(1/16), or cos(Pi/32).
|
|
2
|
|
|
9, 9, 5, 1, 8, 4, 7, 2, 6, 6, 7, 2, 1, 9, 6, 8, 8, 6, 2, 4, 4, 8, 3, 6, 9, 5, 3, 1, 0, 9, 4, 7, 9, 9, 2, 1, 5, 7, 5, 4, 7, 4, 8, 6, 8, 7, 2, 9, 8, 5, 7, 0, 6, 1, 8, 3, 3, 6, 1, 2, 9, 6, 5, 7, 8, 4, 8, 9, 0, 1, 6, 6, 8, 9, 4, 5, 8, 6, 5, 3, 7, 9, 7, 2, 5, 2, 9, 0, 8, 4, 2, 6, 9, 6, 4, 8, 3, 9, 0, 2, 8, 7, 7, 2, 4, 4, 9, 3, 1, 1, 8, 2, 9
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
Equals (1/2) * sqrt(2+sqrt(2+sqrt(2+sqrt(2)))).
|
|
EXAMPLE
|
0.9951847266721968862448369...
|
|
MATHEMATICA
|
RealDigits[Cos[Pi/32], 10, 100][[1]] (* Amiram Eldar, Apr 27 2021 *)
|
|
PROG
|
(PARI) real(I^(1/16))
(PARI) cos(Pi/32)
(PARI) sqrt(2+sqrt(2+sqrt(2+sqrt(2))))/2
(Magma) R:= RealField(127); Cos(Pi(R)/32) // G. C. Greubel, Sep 30 2022
(SageMath) numerical_approx(cos(pi/32), digits=122) # G. C. Greubel, Sep 30 2022
|
|
CROSSREFS
|
cos(Pi/m): A010503 (m=4), A019863 (m=5), A010527 (m=6), A073052 (m=7), A144981 (m=8), A019879 (m=9), A019881 (m=10), A019884 (m=12), A232735 (m=14), A019887 (m=15), A232737 (m=16), A210649 (m=17), A019889 (m=18), A019890 (m=20), A144982 (m=24), A019893 (m=30). this sequence (m=32), A019894 (m=36).
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|