login
A035097
Related to 9-factorial numbers A045756.
1
1, 45, 2565, 161595, 10762227, 742593663, 52511980455, 3780862592760, 276002969271480, 20369019132235224, 1516566060845513496, 113742454563413512200, 8583180609746819651400, 651095557682223033556200
OFFSET
1,2
COMMENTS
Convolution of A035024(n-1) with A025754(n), n >= 1.
LINKS
Elżbieta Liszewska, Wojciech Młotkowski, Some relatives of the Catalan sequence, arXiv:1907.10725 [math.CO], 2019.
FORMULA
a(n) = 9^(n-1)*A045756(n)/n!, A045756(n)=(9*n-8)(!^9) := product(9*j-8, j=1..n); 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
MATHEMATICA
CoefficientList[Series[(1/(1-81 x)^(1/9)-1)/(9 x), {x, 0, 20}], x] (* Harvey P. Dale, May 14 2011 *)
CROSSREFS
KEYWORD
easy,nonn
STATUS
approved