OFFSET
0,3
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
Elżbieta Liszewska, Wojciech Młotkowski, Some relatives of the Catalan sequence, arXiv:1907.10725 [math.CO], 2019.
T. M. Richardson, The Super Patalan Numbers, arXiv preprint arXiv:1410.5880, 2014 and J. Int. Seq. 18 (2015) # 15.3.3
FORMULA
G.f.: (10-(1-81*x)^(1/9))/9.
a(n) = 9^(n-1)*8*A035022(n-1)/n!, n >= 2; 8*A035022(n-1)= (9*n-10)(!^9)= Product_{j=2..n} (9*j - 10). - Wolfdieter Lang
Conjecture: n*a(n) + 9*(-9*n+10)*a(n-1) = 0. - R. J. Mathar, Jul 28 2014
MATHEMATICA
CoefficientList[Series[(10-(1-81x)^(1/9))/9, {x, 0, 20}], x] (* Harvey P. Dale, Nov 29 2012 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved