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!)
A141476 Triangle T(n,k) = A000142(n-k)*A003319(k+1) read by rows. 2
1, 1, 1, 2, 1, 3, 6, 2, 3, 13, 24, 6, 6, 13, 71, 120, 24, 18, 26, 71, 461, 720, 120, 72, 78, 142, 461, 3447, 5040, 720, 360, 312, 426, 922, 3447, 29093, 40320, 5040, 2160, 1560, 1704, 2766, 6894, 29093, 273343, 362880, 40320, 15120, 9360, 8520, 11064, 20682 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
Row sums: Sum_{k=0..n} T(n,k) = A000142(n+1) = (n+1)!.
EXAMPLE
The triangle starts at row n=0 with columns 0 <= k <= n:
1;
1, 1;
2, 1, 3;
6, 2, 3, 13;
24, 6, 6, 13, 71;
120, 24, 18, 26, 71, 461;
MATHEMATICA
(* b = A003319 *) b[0]=0; b[n_] := b[n] = n! - Sum[k!*b[n-k], {k, 1, n-1}];
T[n_, k_] := (n-k)! b[k+1]; Table[T[n, k], {n, 0, 10}, {k, 0, n}] // Flatten (* Jean-François Alcover, Feb 18 2018 *)
CROSSREFS
Sequence in context: A059434 A292222 A182928 * A340114 A212360 A145888
KEYWORD
nonn,tabl
AUTHOR
Paul Curtz, Aug 09 2008
EXTENSIONS
Edited and extended by R. J. Mathar, Dec 05 2008
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 March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)