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

%I A197037 #14 Mar 31 2025 12:06:07
%S A197037 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,
%T A197037 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,
%U A197037 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
%N A197037 Decimal expansion of the modified Struve L-function of order 0 at 1.
%H A197037 M. Abramowitz and I. A. Stegun, <a href="https://personal.math.ubc.ca/~cbm/aands/page_498.htm">Handbook of Mathematical Functions</a>, Chapter 12.2.
%H A197037 Eric Weisstein, <a href="https://mathworld.wolfram.com/ModifiedStruveFunction.html">Modified Struve Function</a>, MathWorld
%F A197037 L_0(1) = sum_{k>=0} 1/(2*4^k*Gamma(3/2+k)^2) = (2/Pi)*sum_{k>=1} 1/A001818(k).
%e A197037 0.710243185937890888738526...
%p A197037 StruveL(0,1); evalf(%) ;
%t A197037 RealDigits[ StruveL[0, 1], 10, 107] // First (* _Jean-François Alcover_, Feb 20 2013 *)
%K A197037 nonn,cons,easy
%O A197037 0,1
%A A197037 _R. J. Mathar_, Oct 08 2011