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.: (8-(1-49*x)^(1/7))/7.
a(n) = 7^(n-1)*6*A034833(n-1)/n!, n >= 2; 6*A034833(n-1)= (7*n-8)(!^7) = Product_{j=2..n} (7*j - 8). - Wolfdieter Lang
MATHEMATICA
CoefficientList[Series[(8 - (1 - 49*x)^(1/7))/7, {x, 0, 20}], x] (* Vincenzo Librandi, Dec 29 2012 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved