A250023 Decimal expansion of the cube root of 1729.03.

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

Offset: 2

Author

Dana Mackenzie and Robert G. Wilson v, Nov 10 2014

Keywords

• nonn
• cons
• easy
• less

Comments

The problem of extracting this cube root pitted an abacus salesman against Nobel Prize winning physicist Richard Feynman one afternoon in Rio de Janeiro.

An algebraic number of degree 3 and denominator 10; minimal polynomial 100x^3 - 172903. - Charles R Greathouse IV, Apr 20 2016

Examples

			12.002383785691718123057381669950440407506851220508927536028813073395024212767944...
		

References

• Richard Feynman and Ralph Leighton, Surely You're Joking, Mr. Feynman! (Adventures of a Curious Character), chapter "Lucky Numbers," W. W. Norton & Co., NY 1985, pp. 192-198.
• Dana Mackenzie, The Universe in Zero Words, The Story of Mathematics as Told Through Equations, Princeton University Press, Princeton and Oxford, 2012, Introduction - The Abacist versus the Algorist, page 13.

Links

• Luis Fernandes, Feynman vs. The Abacus
• Dana Mackenzie, The Universe in Zero Words
• Eric W. Weisstein's World of Mathematics, Newton's Method
• Wikipedia, Newton's method
• Wikipedia, Root-finding algorithm
• Index entries for algebraic numbers, degree 3

Crossrefs

Cf. A000578, A001021, A001235, A005898, A018010, A034126.

Programs

Mathematica

RealDigits[ 1729030^(1/3), 10, 105][[1]] (* please notice the lack of a decimal point *)

PARI

sqrtn(1729.03,3) \\ Charles R Greathouse IV, Apr 20 2016