The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A193962 Mirror of the triangle A193961. 2
1, 4, 1, 40, 17, 4, 184, 98, 40, 9, 584, 354, 184, 73, 16, 1484, 979, 584, 298, 116, 25, 3248, 2275, 1484, 874, 440, 169, 36, 6384, 4676, 3248, 2099, 1224, 610, 232, 49, 11568, 8772, 6384, 4403, 2824, 1634, 808, 305, 64, 19668, 15333, 11568, 8372 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
A193962 is obtained by reversing the rows of the triangle A193961.
LINKS
FORMULA
Write w(n,k) for the triangle at A193961. The triangle at A193962 is then given by w(n,n-k).
EXAMPLE
First six rows:
1
4......1
40.....17....4
184....98....40....9
584....354...184...73...16
1484...979...584...298..116..25
MATHEMATICA
z = 12;
p[n_, x_] := Sum[((k + 1)^2)*x^(n - k), {k, 0, n}]
q[n_, x_] := p[n, x]
t[n_, k_] := Coefficient[p[n, x], x^k]; t[n_, 0] := p[n, x] /. x -> 0;
w[n_, x_] := Sum[t[n, k]*q[n + 1 - k, x], {k, 0, n}]; w[-1, x_] := 1
g[n_] := CoefficientList[w[n, x], {x}]
TableForm[Table[Reverse[g[n]], {n, -1, z}]]
Flatten[Table[Reverse[g[n]], {n, -1, z}]] (* A193961 *)
TableForm[Table[g[n], {n, -1, z}]]
Flatten[Table[g[n], {n, -1, z}]] (* A193962 *)
CROSSREFS
Cf. A193961.
Sequence in context: A297900 A363819 A298495 * A369868 A302441 A373459
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 10 2011
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 19 00:22 EDT 2024. Contains 373492 sequences. (Running on oeis4.)