A396146 Expansion of e.g.f. 1/sqrt((1-x^2)*(1-2*x)).

1, 1, 4, 18, 132, 1140, 12600, 161280, 2414160, 40778640, 772934400, 16181272800, 371495678400, 9270866404800, 249989198659200, 7241246812800000, 224266644489888000, 7394638814218656000, 258627987363537792000, 9563202745771042368000, 372757850968184922240000, 15275486215276368681600000

Offset

0,3

Comments

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.

Links

Table of n, a(n) for n=0..21.

Marc Deléglise and Jean-Louis Nicolas, An arithmetic equivalence of the Riemann hypothesis, Journal of the Australian Mathematical Society, Volume 106, Issue 2, April 2019, pp. 235-273.

Prog

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

Crossrefs

Cf. A395934.

Sequence in context: A294462 A194559 A356542 * A371038 A065857 A214647

Adjacent sequences: A396143 A396144 A396145 * A396147 A396148 A396149

Keyword

nonn

Author

Hugo Pfoertner, May 18 2026

Status

approved