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A035323
Related to deca-factorial numbers A045757.
1
1, 55, 3850, 298375, 24466750, 2079673750, 181228712500, 16084048234375, 1447564341093750, 131728355039531250, 12095058053629687500, 1118792869960746093750, 104133797896346367187500
OFFSET
1,2
COMMENTS
Convolution of A035308(n-1) with A025755(n), n >= 1.
LINKS
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.
FORMULA
a(n) = 10^(n-1)*A045757(n)/n!, A045757(n)= (10*n-9)(!^10) := product(10*j-9, j=1..n); G.f. (-1+(1-100*x)^(-1/10))/10.
D-finite with recurrence: n*a(n) +10*(-10*n+9)*a(n-1)=0. - R. J. Mathar, Jan 28 2020
MATHEMATICA
Rest@ CoefficientList[Series[(-1 + (1 - 100 x)^(-1/10))/10, {x, 0, 13}], x] (* Michael De Vlieger, Oct 13 2019 *)
CROSSREFS
KEYWORD
easy,nonn
STATUS
approved