A329933 - OEIS

A329933

Decimal expansion of greatest negative number x such that csc x + sec x = 1.

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

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OFFSET

1,3

LINKS

Table of n, a(n) for n=1..86.

FORMULA

Exact value: x = - arcsec(1/2 (1 + sqrt(-1 + 2 sqrt(2))) + sqrt(2 (-1 + 2 sqrt(2)))))

EXAMPLE

least positive x: 2.6534458515135517347998055805879...

greatest negative x: -1.0826495247186551155684838889...

2.65344... - (-1.08264...) = Pi/2.

MATHEMATICA