A247844 - OEIS

A247844

Decimal expansion of the value of the continued fraction [1; 1, 2, 3, 4, 5, ...].

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

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OFFSET

1,2

COMMENTS

Equals 1+A052119.

LINKS

Table of n, a(n) for n=1..105.

MathOverflow, Is any particular algebraic number known to have unbounded continued fraction coefficients?

Eric Weisstein's MathWorld, Continued Fraction Constant

Eric Weisstein's MathWorld, Continued Fraction

FORMULA

1 + I_1(2) / I_0(2), where I_n(x) gives the modified Bessel function of the first kind.