A210522 Decimal expansion of 10^(3/4).

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

Offset

1,1

Comments

This number is the geometric mean of sqrt(10) and 10.

Floor(10^((4n - 1)/4) = A018072(4n - 1) can be obtained by multiplying this number by 10^(n - 1) and truncating the decimal places.

Harriot gives this constant to 18 decimal places. - Charles R Greathouse IV, Oct 22 2014

References

P. H. Underwood, "Logarithms" Texas Mathematics Teachers' Bulletin, Vol 6 No. 1 (1920), p. 23.

Links

Table of n, a(n) for n=1..98.

Thomas Harriot, Manuscript 6782, p. 7, c. 1599.

Example

5.6234132519034908039495103977648...

Mathematica

RealDigits[10^(3/4), 10, 105][[1]]

Prog

(PARI) 10^.75 \\ Charles R Greathouse IV, Oct 22 2014

Crossrefs

Cf. A010467, A011007.

Sequence in context: A182496 A195718 A354214 * A211394 A060011 A021068

Adjacent sequences: A210519 A210520 A210521 * A210523 A210524 A210525

Keyword

nonn,cons,easy

Author

Alonso del Arte, Jan 27 2013

Status

approved