1,3

The decimal expansion is A093602.

Dolbeault et al. Abstract, where this is referred to as "the semiclassical constant" following remark 2, p. 2: "Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allow us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schroedinger operators."

Jean Dolbeault, Ari Laptev and Michael Loss, Lieb-Thirring inequalities with improved constants

1 + 1/1 + 1/4 + 1/2 + 1/1 + 1/2 + 1/3 + 1/7 + 1/3 + 1/3 + 1/30 + 1/2 + 1/1 + 1/2 + 1/2 + 1/83 + 1/9 + 1/20 + 1/1 + 1/37 + 1/1 + 1/2 + 1/7 + 1/1 + 1/1 + 1/2 + 1/1 + 1/6 + 1/1 + 1/2 + 1/1 + 1/1 + 1/3 + 1/3 + 1/1 + 1/4 + 1/8 + 1/1 + 1/6 + 1/33 + 1/1 + 1/1 + 1/1 + 1/17 + 1/4 + 1/1 + 1/3 + 1/1 + 1/5 + 1/3 + 1/2 + 1/1 + 1/1100 + 1/2 + 1/31 + 1/6 + 1/7 + 1/1 + 1/1 + 1/9 + 1/6 + 1/3 + 1/1 + 1/2 + 1/2 + 1/2 + 1/1 + 1/2 + 1/4 + 1/6 + 1/16 + 1/1 + 1/1 + 1/8 + 1/1 + 1/13 + 1/2 + 1/18 + 1/1 + 1/4 + 1/1 + 1/46 + 1/2 + 1/5 + 1/1 + 1/3 + 1/1 + 1/42 + 1/1 + 1/1 + 1/1 + 1/26 + 1/3 + 1/2 + 1/1 + 1/5 + 1/4 + 1/4 + 1/5 + 1/1 + . . .

Cf. A093602.

Sequence in context: A046096 A080816 A016507 this_sequence A097525 A010124 A071406

Adjacent sequences: A132113 A132114 A132115 this_sequence A132117 A132118 A132119

cofr,easy,nonn

Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 10 2007