A245299 Decimal expansion of the Landau-Kolmogorov constant C(5,4) for derivatives in the case L_infinity(-infinity, infinity).
1, 4, 9, 6, 2, 7, 7, 8, 6, 9, 7, 3, 8, 8, 4, 4, 7, 3, 8, 5, 0, 8, 1, 0, 2, 1, 3, 9, 3, 2, 9, 7, 8, 2, 5, 5, 3, 3, 1, 7, 0, 0, 6, 2, 4, 7, 0, 9, 3, 2, 5, 4, 1, 0, 3, 0, 8, 7, 5, 6, 8, 6, 3, 9, 5, 0, 3, 6, 8, 0, 0, 9, 7, 2, 0, 4, 5, 0, 0, 4, 3, 3, 7, 4, 5, 7, 0, 3, 5, 8, 1, 0, 9, 0, 8, 3, 9, 6, 3, 9, 6, 9, 2, 0, 9
Offset: 1
Examples
1.49627786973884473850810213932978255331700624709325410308756863950368...
References
- Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.3 Landau-Kolmogorov constants, p. 213.
Links
- Eric Weisstein's MathWorld, Landau-Kolmogorov Constants
- Eric Weisstein's MathWorld, Favard Constants
Programs
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Mathematica
a[n_] := (4/Pi)*Sum[((-1)^j/(2*j+1))^(n+1), {j, 0, Infinity}]; c[n_, k_] := a[n-k]*a[n]^(-1+k/n); RealDigits[c[5,4], 10, 105] // First
Comments