A396146 - OEIS

%I #8 Jun 10 2026 15:44:15

%S 1,1,4,18,132,1140,12600,161280,2414160,40778640,772934400,

%T 16181272800,371495678400,9270866404800,249989198659200,

%U 7241246812800000,224266644489888000,7394638814218656000,258627987363537792000,9563202745771042368000,372757850968184922240000,15275486215276368681600000

%N Expansion of e.g.f. 1/sqrt((1-x^2)*(1-2*x)).

%C Divided by n!, these are the coefficients c_n in (2.45) and (2.46) in the article by Deléglise and Nicolas, which are needed in the calculation for A395934.

%H Marc Deléglise and Jean-Louis Nicolas, <a href="https://doi.org/10.1017/S1446788718000083">An arithmetic equivalence of the Riemann hypothesis</a>, Journal of the Australian Mathematical Society, Volume 106, Issue 2, April 2019, pp. 235-273.

%o (PARI) my(x='x+O('x^22)); Vec(serlaplace(1/sqrt((1-x^2)*(1-2*x))))

%Y Cf. A395934.

%K nonn

%O 0,3

%A _Hugo Pfoertner_, May 18 2026