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A244262
Decimal expansion of theta = 2.472548..., an auxiliary constant used to compute the best constant in Friedrichs' inequality in one dimension.
1
2, 4, 7, 2, 5, 4, 8, 0, 7, 5, 2, 4, 0, 1, 2, 2, 7, 0, 1, 4, 3, 7, 6, 3, 5, 5, 0, 9, 3, 5, 8, 2, 0, 2, 8, 3, 7, 7, 4, 3, 6, 0, 5, 5, 5, 5, 8, 8, 4, 1, 1, 5, 1, 6, 0, 8, 0, 7, 2, 2, 1, 4, 8, 1, 1, 7, 2, 1, 8, 1, 9, 1, 2, 6, 2, 7, 5, 4, 3, 2, 0, 9, 7, 7, 0, 4, 6, 8, 7, 4, 0, 8, 7, 5, 8, 8, 4, 2, 4, 8, 8
OFFSET
1,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.6 Sobolev Isoperimetric Constants, p. 223.
FORMULA
Theta is the unique solution of the equation cos(t) - t/(t^2 + 1)*sin(t) = -1, with 0 < t < Pi.
EXAMPLE
2.4725480752401227014376355093582...
MATHEMATICA
theta = t /. FindRoot[Cos[t] - t/(t^2 + 1)*Sin[t] == -1, {t, 2}, WorkingPrecision -> 101]; RealDigits[theta] // First
CROSSREFS
Cf. A244263.
Sequence in context: A246183 A134974 A377605 * A166531 A133292 A126218
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved