A074783 a(n) = floor(1/sin(x(n))) where x(n) is Pi truncated at the n-th decimal digit.

7, 24, 627, 1687, 10792, 376847, 1530011, 18660269, 278567575, 1695509434, 11136696004, 102111268281, 1260654956981, 10725187563685, 308788493220129, 4193528956200935, 25999253094360135, 118166387818704584

Offset: 0

Author

Benoit Cloitre, Sep 07 2002

Keywords

• nonn
• base

Comments

a(n+1) = a(n) for n = 31, 49, 53, 64, 70, 76, 84, 96, 105, 115, 120, 127, ...

Examples

			x(4)=3.1415 and 1/sin(x(4))=10792.889... hence a(4)=10792.
		

Programs

PARI

a(n)=floor(1/sin(floor(Pi*10^n)/10^n))

Formula

Is there a formula for lim m_{n -> oo} log(a(n))/n >= 2?