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A232737 Decimal expansion of the real part of I^(1/8), or cos(Pi/16). 5
9, 8, 0, 7, 8, 5, 2, 8, 0, 4, 0, 3, 2, 3, 0, 4, 4, 9, 1, 2, 6, 1, 8, 2, 2, 3, 6, 1, 3, 4, 2, 3, 9, 0, 3, 6, 9, 7, 3, 9, 3, 3, 7, 3, 0, 8, 9, 3, 3, 3, 6, 0, 9, 5, 0, 0, 2, 9, 1, 6, 0, 8, 8, 5, 4, 5, 3, 0, 6, 5, 1, 3, 5, 4, 9, 6, 0, 5, 0, 6, 3, 9, 1, 5, 0, 6, 4, 9, 8, 5, 8, 5, 3, 3, 0, 0, 7, 6, 3, 2, 5, 9, 8, 9, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
The corresponding imaginary part is in A232738.
LINKS
FORMULA
Equals (1/2) * sqrt(2+sqrt(2+sqrt(2))). - Seiichi Manyama, Apr 04 2021
EXAMPLE
0.9807852804032304491261822361342390369739337308933360950029160885453...
MATHEMATICA
RealDigits[Cos[Pi/16], 10, 120][[1]] (* Amiram Eldar, Jun 29 2023 *)
PROG
(PARI) real(I^(1/8)) \\ Seiichi Manyama, Apr 04 2021
(PARI) cos(Pi/16) \\ Seiichi Manyama, Apr 04 2021
(PARI) sqrt(2+sqrt(2+sqrt(2)))/2 \\ Seiichi Manyama, Apr 04 2021
CROSSREFS
Cf. A232738 (imaginary part), A010503 (real(I^(1/2))), A010527 (real(I^(1/3))), A144981 (real(I^(1/4))), A019881 (real(I^(1/5))), A019884 (real(I^(1/6))), A232735 (real(I^(1/7))), A019889 (real(I^(1/9))), A019890 (real(I^(1/10))).
Sequence in context: A344426 A021106 A072915 * A155683 A343469 A261813
KEYWORD
nonn,cons,easy
AUTHOR
Stanislav Sykora, Nov 29 2013
STATUS
approved

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Last modified August 29 06:09 EDT 2024. Contains 375510 sequences. (Running on oeis4.)