The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A193964 Mirror of the triangle A193963. 2
 1, 1, 4, 5, 20, 9, 14, 56, 45, 16, 30, 120, 126, 80, 25, 55, 220, 270, 224, 125, 36, 91, 364, 495, 480, 350, 180, 49, 140, 560, 819, 880, 750, 504, 245, 64, 204, 816, 1260, 1456, 1375, 1080, 686, 320, 81, 285, 1140, 1836, 2240, 2275, 1980, 1470, 896 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS A193964 is obtained by reversing the rows of the triangle A193963. LINKS Table of n, a(n) for n=0..52. FORMULA Write w(n,k) for the triangle at A193963. The triangle at A193964 is then given by w(n,n-k). EXAMPLE First six rows: 1 1....4 5....20....9 14...56....45....16 30...120...126...80....25 55...220...270...224...125...36 MATHEMATICA p[n_, x_] := Sum[((k + 1)^2)*x^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}]] (* A193963 *) TableForm[Table[g[n], {n, -1, z}]] Flatten[Table[g[n], {n, -1, z}]] (* A193964 *) CROSSREFS Cf. A193963. Sequence in context: A346060 A041255 A042835 * A337443 A099897 A050251 Adjacent sequences: A193961 A193962 A193963 * A193965 A193966 A193967 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.

Last modified July 15 23:38 EDT 2024. Contains 374343 sequences. (Running on oeis4.)