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

0,1

Links

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

Example

0.80431856111715795076768044139...

Mathematica

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

Prog

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

Crossrefs

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

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

Sequence in context: A354635 A019959 A200482 * A242673 A388813 A188935

Adjacent sequences: A073821 A073822 A073823 * A073825 A073826 A073827

Keyword

cons,nonn

Author

Rick L. Shepherd, Aug 12 2002

Status

approved