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%I #18 Feb 27 2022 13:14:53
%S 1,1,3,12,60,355,2380,17430,134190,1027656,6922146,21248073,
%T -601744143,-20802115620,-480211746300,-9737801866650,
%U -183103121602830,-3185750996194910,-48580593174777092,-515943195216679230,3196232280583478136,460669417734237239892
%N Coefficients of the expansion in 1/(2d) of the Green function G(0,1) for brownian motion.
%D C. Itzykson and J.-M. Drouffe, Statistical Field Theory, 1989.
%H Noam D. Elkies, Reply to <a href="https://mathoverflow.net/questions/83317/polyas-random-walk-constants-at-infinity">Pólya’s Random Walk Constants at infinity</a>, MathOverflow Q-83317, Dec 13 2011.
%F G.f.: Integral_{t=0..oo} BesselI(0,2*t*x)^(1/(2*x))*exp(-t) dt. - _Alois P. Heinz_, Feb 27 2022
%t CoefficientList[Integrate[BesselI[0, 2 t x]^(1/(2 x)) Exp[-t] + O[x]^20, {t, 0, Infinity}], x] (* _Andrey Zabolotskiy_, Feb 27 2022 *)
%K sign
%O 0,3
%A Michele Dondi (blazar(AT)lcm.mi.infn.it), Apr 14 2005
%E Terms a(9) and beyond from _Andrey Zabolotskiy_, Feb 27 2022
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