A034996 Related to octo-factorial numbers A045755.

1, 36, 1632, 81600, 4308480, 235530240, 13189693440, 751812526080, 43438057062400, 2536782532444160, 149439552820346880, 8866746800673914880, 529276578255612149760, 31756594695336728985600

Offset

1,2

Comments

Convolution of A034977(n-1) with A025753(n), n >= 1.

Links

Michael De Vlieger, Table of n, a(n) for n = 1..555

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) = 8^(n-1)*A045755(n)/n!, A045755(n)=(8*n-7)!^8 := product(8*j-7, j=1..n); G.f. (-1+(1-64*x)^(-1/8))/8.

D-finite with recurrence: n*a(n) +8*(-8*n+7)*a(n-1)=0. - R. J. Mathar, Jan 28 2020

Mathematica

Rest@ CoefficientList[Series[(-1 + (1 - 64*x)^(-1/8))/8, {x, 0, 14}], x] (* Michael De Vlieger, Oct 13 2019 *)

Crossrefs

Cf. A045755, A034977, A025753, A034904.

Sequence in context: A095657 A209014 A268897 * A166770 A270602 A190918

Adjacent sequences: A034993 A034994 A034995 * A034997 A034998 A034999

Keyword

easy,nonn

Author

Wolfdieter Lang

Status

approved