A035097 Related to 9-factorial numbers A045756.

1, 45, 2565, 161595, 10762227, 742593663, 52511980455, 3780862592760, 276002969271480, 20369019132235224, 1516566060845513496, 113742454563413512200, 8583180609746819651400, 651095557682223033556200

Offset

1,2

Comments

Convolution of A035024(n-1) with A025754(n), n >= 1.

Links

Michael De Vlieger, Table of n, a(n) for n = 1..526

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) = 9^(n-1)*A045756(n)/n!, A045756(n)=(9*n-8)(!^9) := product(9*j-8, j=1..n); G.f. (-1+(1-81*x)^(-1/9))/9.

D-finite with recurrence: n*a(n) +9*(-9*n+8)*a(n-1)=0. - R. J. Mathar, Jan 28 2020

Mathematica

CoefficientList[Series[(1/(1-81 x)^(1/9)-1)/(9 x), {x, 0, 20}], x] (* Harvey P. Dale, May 14 2011 *)

Crossrefs

Cf. A045756, A035024, A025754, A034996.

Sequence in context: A279439 A251443 A109941 * A184286 A130017 A025755

Adjacent sequences: A035094 A035095 A035096 * A035098 A035099 A035100

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved