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A035323
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Related to deca-factorial numbers A045757.
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1
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1, 55, 3850, 298375, 24466750, 2079673750, 181228712500, 16084048234375, 1447564341093750, 131728355039531250, 12095058053629687500, 1118792869960746093750, 104133797896346367187500
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OFFSET
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1,2
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COMMENTS
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Convolution of A035308(n-1) with A025755(n), n >= 1.
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LINKS
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Michael De Vlieger, Table of n, a(n) for n = 1..502
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.
Index entries for sequences related to factorial numbers
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FORMULA
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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
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MATHEMATICA
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Rest@ CoefficientList[Series[(-1 + (1 - 100 x)^(-1/10))/10, {x, 0, 13}], x] (* Michael De Vlieger, Oct 13 2019 *)
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CROSSREFS
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Cf. A045757, A035308, A025755.
Sequence in context: A095659 A081993 A060077 * A250833 A206097 A103918
Adjacent sequences: A035320 A035321 A035322 * A035324 A035325 A035326
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang
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STATUS
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approved
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