A261883 Decimal expansion of 1 - 2^(-1/3).

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

Offset: 0

Author

Charles R Greathouse IV, Sep 04 2015

Keywords

• nonn
• cons
• easy

Comments

Blomer shows that there are x/log^k x powerful numbers up to x, where k = 0.20629947... is this constant.

Examples

			0.20629947401590026262414718036384586980425333605007349509585711908739174...
		

Links

• Valentin Blomer, Binary quadratic forms with large discriminants and sums of two squareful numbers II, Journal of the London Mathematical Society 71:1 (2005), pp. 69-84.
• Index entries for algebraic numbers, degree 3.
• Index entries for sequences related to powerful numbers

Crossrefs

Cf. A076871, A001694.

Programs

Mathematica

First@RealDigits[N[1 - 2^(-1/3), 120]] (* Michael De Vlieger, Sep 04 2015 *)
RealDigits[1-1/Surd[2,3],10,120][[1]] (* Harvey P. Dale, Dec 05 2023 *)

PARI

1 - 2^(-1/3)