

A242402


Decimal expansion of the smallest positive root of the equation J_0(t)*I_1(t)+I_0(t)*J_1(t) = 0 (with I_0, I_1, J_0 and J_1, Bessel functions).


1



3, 1, 9, 6, 2, 2, 0, 6, 1, 6, 5, 8, 2, 5, 4, 1, 0, 9, 3, 9, 8, 0, 5, 2, 7, 4, 0, 3, 4, 0, 3, 7, 2, 0, 3, 4, 1, 5, 9, 9, 0, 8, 1, 1, 1, 1, 6, 2, 0, 2, 2, 2, 0, 4, 6, 8, 4, 2, 2, 7, 0, 3, 6, 4, 2, 3, 2, 3, 3, 3, 1, 1, 7, 2, 9, 7, 6, 1, 5, 2, 4, 5, 1, 1, 2, 6, 2, 7, 0, 0, 2, 1, 7, 5, 2, 2, 0, 9, 6, 1
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OFFSET

1,1


COMMENTS

"This [constant] is associated with the study of a vibrating, homogeneous plate clamped at the boundary [of the unit disk]."  Quoted from Steven R. Finch.


REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 222.


LINKS

Table of n, a(n) for n=1..100.


EXAMPLE

3.196220616582541093980527403403720341599...


MATHEMATICA

FindRoot[BesselJ[0, t]*BesselI[1, t] + BesselI[0, t]*BesselJ[1, t] == 0, {t, 3}, WorkingPrecision > 100][[1, 2]] // RealDigits[#, 10, 100]& // First


CROSSREFS

Cf. A115368.
Sequence in context: A187537 A246256 A157393 * A217629 A127552 A229759
Adjacent sequences: A242399 A242400 A242401 * A242403 A242404 A242405


KEYWORD

nonn,cons


AUTHOR

JeanFrançois Alcover, May 13 2014


STATUS

approved



