A111783 Tenth column (m=9) of unsigned triangle A111595.

1, 90, 5005, 223740, 8886735, 329819490, 11775438675, 411859047600, 14282642924550, 495142102154700, 17259324931198350, 607418587742967000, 21648370208790575250, 783042495355599979500, 28791389550204705674250

Offset

9,2

Links

Table of n, a(n) for n=9..23.

Formula

E.g.f. (1/sqrt(1-x^2))*((x/(1-x))^9)/9!.

a(n)=(n!/9!)*sum(binomial(2*k, k)*binomial(n-2*k-1, 8)/(4^k), k=0..floor((n-9)/2)), n>=9.

Crossrefs

Sequence in context: A281580 A369144 A111599 * A075918 A076010 A287021

Adjacent sequences: A111780 A111781 A111782 * A111784 A111785 A111786

Keyword

nonn,easy

Author

Wolfdieter Lang, Aug 23 2005

Status

approved