|
| |
|
|
A138283
|
|
Decimal expansion of the imaginary part of z0, the smallest nonzero first-quadrant solution of z = Sin(z).
|
|
1
| |
|
|
2, 7, 6, 8, 6, 7, 8, 2, 8, 2, 9, 8, 7, 3, 2, 1, 5, 3, 2, 4, 9, 5, 3, 1, 3, 9, 1, 3, 0, 5, 1, 4, 0, 9, 0, 2, 0, 7, 1, 5, 5, 5, 1, 6, 5, 9, 0, 0, 0, 8, 6, 5, 6, 7, 4, 7, 3, 1, 3, 0, 3, 8, 4, 2, 8, 4, 8, 0, 2, 6, 7, 1, 4, 2, 7, 6, 9, 6, 3, 8, 1, 3, 0, 8, 4, 8, 0, 1, 6, 0, 3, 8, 0, 8, 1, 7, 0, 2, 4, 3, 0, 5, 8, 5, 6
(list; constant; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| z0 is a repelling fixed point of Sin(z). The constant z0 appears in the paper by Shenderov.
|
|
|
REFERENCES
| E. L. Shenderov, Helmholtz equation solutions corresponding to multiple roots of the dispersion equation for a waveguide with impedance walls (Russian), Acoustical Physics 46 (2000), 357-363.
|
|
|
EXAMPLE
| 2.768678282987321532495314...
|
|
|
MATHEMATICA
| z0 = FindRoot[{Re[Sin[x+I*y]]==x, Im[Sin[x+I*y]]==y}, {{x, 7}, {y, 3}}, WorkingPrecision->150]; RealDigits[z0[[2, 2]]]
|
|
|
CROSSREFS
| Cf. A138282 (real part).
Sequence in context: A189959 A158241 A156591 * A117968 A154200 A089417
Adjacent sequences: A138280 A138281 A138282 * A138284 A138285 A138286
|
|
|
KEYWORD
| cons,nonn
|
|
|
AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Mar 12 2008
|
| |
|
|
