A035097 Related to 9-factorial numbers A045756.
1, 45, 2565, 161595, 10762227, 742593663, 52511980455, 3780862592760, 276002969271480, 20369019132235224, 1516566060845513496, 113742454563413512200, 8583180609746819651400, 651095557682223033556200, 49613481495385395156982440, 3795431334396982729509156660
Offset: 1
Links
- Michael De Vlieger, Table of n, a(n) for n = 1..526
- Elżbieta Liszewska and Wojciech Młotkowski, Some relatives of the Catalan sequence, arXiv:1907.10725 [math.CO], 2019.
- Index entries for sequences related to factorial numbers.
Programs
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Mathematica
CoefficientList[Series[(1/(1-81 x)^(1/9)-1)/(9 x),{x,0,20}],x] (* Harvey P. Dale, May 14 2011 *)
Formula
G.f.: (-1+(1-81*x)^(-1/9))/9.
D-finite with recurrence: n*a(n) + 9*(-9*n+8)*a(n-1) = 0. - R. J. Mathar, Jan 28 2020
a(n) ~ 9^(2*n-1) * n^(-8/9) / Gamma(1/9). - Amiram Eldar, Aug 18 2025
Comments