A197037 Decimal expansion of the modified Struve L-function of order 0 at 1.

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

Offset

0,1

Links

Table of n, a(n) for n=0..106.

Abramowitz  and Stegun, Handbook of Mathematical Functions, Chapter 12.2

Eric Weisstein, Modified Struve Function, MathWorld

Formula

L_0(1) = sum_{k>=0} 1/(2*4^k*Gamma(3/2+k)^2) = (2/Pi)*sum_{k>=1} 1/A001818(k).

Example

0.710243185937890888738526...

Maple

StruveL(0, 1); evalf(%) ;

Mathematica

RealDigits[ StruveL[0, 1], 10, 107] // First (* Jean-François Alcover, Feb 20 2013 *)

Crossrefs

Sequence in context: A289481 A229819 A194655 * A256778 A218620 A195911

Adjacent sequences: A197034 A197035 A197036 * A197038 A197039 A197040

Keyword

nonn,cons,easy

Author

R. J. Mathar, Oct 08 2011

Status

approved