A254689 Decimal expansion of sqrt(1+2*sqrt(3+4*sqrt(5+6*sqrt(7+...)))).

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

Offset: 1

Author

Johannes Røsok Eskilt, Mar 24 2016

Keywords

• nonn
• cons

Examples

			3.59854454068856909259879177588536401075721686476680448902107357530370181023113...
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Programs

PARI

/* This program approximates the constant using the first n radicals. If n is omitted it attempts to compute the constant to within 1 ulp at the current precision. */
approx(n=default(realprecision)\.3+9)=my(t=2*n+5-5/n); forstep(k=2*n,2,-2, t=sqrt(k-1+k*t)); t \\ Charles R Greathouse IV, Mar 24 2016

Extensions

a(17)-a(70) from Charles R Greathouse IV, Mar 24 2016