A379390 Decimal expansion of 1/A240969.
2, 2, 7, 8, 2, 9, 1, 6, 4, 1, 4, 4, 0, 4, 3, 7, 5, 4, 3, 6, 6, 1, 4, 9, 2, 5, 7, 0, 7, 1, 7, 4, 7, 6, 3, 0, 9, 1, 5, 0, 5, 9, 7, 4, 3, 2, 7, 4, 9, 6, 9, 9, 5, 5, 1, 8, 6, 0, 0, 2, 6, 7, 0, 9, 9, 9, 2, 3, 2, 7, 1, 9, 5, 2, 7, 3, 8, 0, 8, 5, 0, 2, 5, 8, 9, 1, 0, 9, 9, 9, 3, 7, 2, 9, 4, 4, 9, 6, 1, 5
Offset: 1
Examples
2.2782916414404375436614925707174763091505974327...
References
- Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.4.1, p. 493.
Crossrefs
Cf. A240969.
Programs
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Mathematica
phi = ArcSin[1/6 + (4/3)*Sin[(1/3 )*ArcSin[17/64]]]; psi = ArcTan[(1/2)*Sec[phi]]; beta = (1/2)*(Pi/2 - phi - 2*psi + Tan[phi] + Tan[psi])^(-1); RealDigits[1/beta, 10, 100] // First (* after Jean-François Alcover, Sep 04 2014 in A240969 *)