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

2,2

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

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

Table of n, a(n) for n=2..106.

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

Example

12.002383785691718123057381669950440407506851220508927536028813073395024212767944...

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A364806 A024870 A147699 * A151669 A115509 A279360

Adjacent sequences: A250020 A250021 A250022 * A250024 A250025 A250026

Keyword

nonn,cons,easy,less

Author

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

Status

approved