A073824 Decimal expansion of number with continued fraction expansion 0, 1, 4, 9, ... (the squares).

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

Offset: 0

Author

Rick L. Shepherd, Aug 12 2002

Keywords

• cons
• nonn

Examples

			0.80431856111715795076768044139...
		

Links

• Kerry Mitchell, Table of n, a(n) for n = 0..1494

Crossrefs

Cf. A000290 (squares), A052119, A309930, A214070.

The numerators and denominators of convergents to this constant are given by A036245 and A036246 respectively.

Programs

Mathematica

RealDigits[FromContinuedFraction[Range[0,100]^2],10,120][[1]] (* Harvey P. Dale, May 07 2018 *)

PARI

dec_exp(v)= w=contfracpnqn(v); w[1,1]/w[2,1]+0.
dec_exp(vector(2000,i,(i-1)^2))