A379855 Decimal expansion of Pi*BesselY(0,2)/2.

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

Offset

0,1

References

Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 44, equation 44:5:11 at page 426.

Links

Table of n, a(n) for n=0..87.

Formula

Equals Sum_{k>=1} (-1)^k*psi(k)/Gamma(k)^2, where psi denotes the digamma function (see Spanier and Oldham).

Example

0.8016962318836942154259743686714061965572884022...

Mathematica

RealDigits[Pi*BesselY[0, 2]/2, 10, 100][[1]]

Crossrefs

Cf. A000796, A019669, A283743.

Sequence in context: A198117 A241215 A272343 * A011314 A021559 A167176

Adjacent sequences: A379850 A379853 A379854 * A379856 A379858 A379859

Keyword

nonn,cons

Author

Stefano Spezia, Jan 04 2025

Status

approved