login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A193896 Mirror of the triangle A193895. 2

%I

%S 1,1,2,3,6,6,6,12,15,12,10,20,27,28,20,15,30,42,48,45,30,21,42,60,72,

%T 75,66,42,28,56,81,100,110,108,91,56,36,72,105,132,150,156,147,120,72,

%U 45,90,132,168,195,210,210,192,153,90,55,110,162,208,245,270,280

%N Mirror of the triangle A193895.

%C A193896 is obtained by reversing the rows of the triangle A193895.

%F Write w(n,k) for the triangle at A193895. The triangle at A193896 is then given by w(n,n-k).

%e First six rows:

%e 1

%e 1....2

%e 3....6....6

%e 6....12...15...12

%e 10...20...27...28...20

%e 15...30...42...48...45...30

%t z = 9;

%t p[n_, x_] := x*p[n - 1, x] + n + 1 (* #6 *) ; p[0, x_] := 1;

%t q[n_, x_] := (n + 1)*x^n + q[n - 1, x] (* #7 *); q[0, x_] := 1;

%t t[n_, k_] := Coefficient[p[n, x], x^k]; t[n_, 0] := p[n, x] /. x -> 0;

%t w[n_, x_] := Sum[t[n, k]*q[n + 1 - k, x], {k, 0, n}]; w[-1, x_] := 1

%t g[n_] := CoefficientList[w[n, x], {x}]

%t TableForm[Table[Reverse[g[n]], {n, -1, z}]]

%t Flatten[Table[Reverse[g[n]], {n, -1, z}]] (* A193895 *)

%t TableForm[Table[g[n], {n, -1, z}]]

%t Flatten[Table[g[n], {n, -1, z}]] (* A193896 *)

%Y Cf. A193895.

%K nonn,tabl

%O 0,3

%A _Clark Kimberling_, Aug 08 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 9 07:21 EST 2021. Contains 349627 sequences. (Running on oeis4.)