A245287 Decimal expansion of the Landau-Kolmogorov constant C(4,2) for derivatives in L_2(0, infinity).

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

Offset

1,1

Comments

See A244091.

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.3 Landau-Kolmogorov constants, p. 214.

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's MathWorld, Landau-Kolmogorov Constants

Formula

(2/b)^(1/2), where b is the smallest positive root of x^4 - 2*x^2 - 4*x + 1.

Example

2.979633905986221744795512338016149706694228782877136312208125837862...

Mathematica

b = Root[x^4 - 2*x^2 - 4*x + 1, 1]; RealDigits[(2/b)^(1/2), 10, 105] // First

Crossrefs

Cf. A244091, A245286.

Sequence in context: A157350 A121837 A160439 * A254595 A137453 A063381

Adjacent sequences: A245284 A245285 A245286 * A245288 A245289 A245290

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 16 2014

Status

approved