A096632 - OEIS

A096632

Denominators of the leading coefficient of the Airy zeta functions expressed as polynomials of X = 3^(5/6)Gamma(2/3)^2/(2Pi).

%I #14 Feb 16 2025 08:32:53

%S 1,2,3,12,20,180,1260,1120,9072,90720,184800,29937600,389188800,

%T 13453440,8172964800,130767436800,15247232000,100037089152000,

%U 380140938777600,10429106688000,1451447220787200,159659194286592000

%N Denominators of the leading coefficient of the Airy zeta functions expressed as polynomials of X = 3^(5/6)Gamma(2/3)^2/(2Pi).

%C With offset 1, the n-th term seems to be a divisor of factorial(n). _F. Chapoton_, May 26 2021

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/AiryZetaFunction.html">Airy Zeta Function</a>

%e X^2, (-1 + 2*X^3)/2, (-X + 3*X^4)/3, (-5*X^2 + 12*X^5)/12, (1 - 10*X^3 + 20*X^6)/20, ...

%Y Cf. A096631.

%K nonn,changed

%O 2,2

%A _Eric W. Weisstein_, Jul 06 2004