A035323 Related to deca-factorial numbers A045757.

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

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

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

Cf. A045757, A035308, A025755.

Sequence in context: A095659 A081993 A060077 * A250833 A206097 A103918

Adjacent sequences: A035320 A035321 A035322 * A035324 A035325 A035326

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved