A073001 - OEIS

A073001

Decimal expansion of Bernstein's constant.

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

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OFFSET

0,1

COMMENTS

Named after the Russian and Soviet mathematician Sergei Natanovich Bernstein (1880-1968). - Amiram Eldar, Jun 06 2021

REFERENCES

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 4.4, p. 258.

LINKS

Table of n, a(n) for n=0..49.

Serge Bernstein, Sur la meilleure approximation de |x| par des polynomes de degrés donnés, [in French], Acta Math., Vol. 37 (1913), pp. 1-57.

Simon Plouffe, The Bernstein Constant. [broken link]

R. S. Varga and A. J. Carpenter, A conjecture of S. Bernstein in approximation theory. [in Russian], Mat. Sb. (N.S.), 1986, Volume 129(171), Number 4, Pages 535-548, English version, Mathematics of the USSR-Sbornik, Volume 57, Number 2.

Richard S. Varga and Amos J. Carpenter, On the Bernstein Conjecture in Approximation Theory, Constr. Approx. 1(1), 333-348, December 1985

Eric Weisstein's World of Mathematics, Bernstein's Constant.

Wikipedia, Bernstein's constant.

EXAMPLE

0.2801694990238691330364364912306720000424821398...

CROSSREFS

Cf. A087198 (the value conjectured by Bernstein in 1913).

Sequence in context: A073410 A021361 A199156 * A088153 A259173 A010594

Adjacent sequences: A072998 A072999 A073000 * A073002 A073003 A073004

KEYWORD

cons,nonn,more

AUTHOR

Robert G. Wilson v, Aug 03 2002

STATUS

approved