|
%I #10 Sep 08 2022 08:45:45
%S 3,30,315,11340,311850,12162150,638512875,86837751000,7424627710500,
%T 779585909602500,98617617564716250,14792642634707437500,
%U 2596108782391155281250,527010082825404522093750,122529844256906551386796875,64695757767646659132228750000
%N The p(n) sequence that is associated with the Eta triangle A160464.
%F a(n) = 2^(-(2*(n-1)-1-floor(log(n-1)/log(2))))*(2*n-1)! for n = 2, 3, 4, ... .
%o (PARI) vector(20, n, n++; 2^(-(2*(n-1)-1-floor(log(n-1)/log(2))))*(2*n-1)!) \\ _Michel Marcus_, Jul 06 2015
%o (Magma) [2^(-(2*(n-1)-1-Floor(Log(n-1)/Log(2))))*Factorial(2*n-1) : n in [2..30]]; // _Vincenzo Librandi_, Jul 06 2015
%Y A160464 is the Eta triangle.
%Y Equals 3*(n-2)!*A000457(n-2)/A054243(n-1)
%Y Equals 2^(-A049039(n-1))*(2*n-1)!
%Y Cf. The pg(n) sequence A162440. - _Johannes W. Meijer_, Jul 06 2009
%K easy,nonn
%O 2,1
%A _Johannes W. Meijer_, May 24 2009
| 