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!)
A153658 Triangle read by rows: A(n,k)=A(n - 1, k - 1) + A(n - 1, k) + (n + 1)*(n + 2)*A(n - 2, k - 1). 0
2, 120, 120, 2, 1436, 2, 2, 5038, 5038, 2, 2, 5124, 70388, 5124, 2, 2, 5238, 357640, 357640, 5238, 2, 2, 5384, 731806, 5783216, 731806, 5384, 2, 2, 5566, 1208610, 38702622, 38702622, 1208610, 5566, 2, 2, 5788, 1806416, 120409892, 713559004 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row sums are (2*(n + 3)!) except for n=1 which is 2: {2, 240, 1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600}.
LINKS
EXAMPLE
{2},
{120, 120},
{2, 1436, 2},
{2, 5038, 5038, 2},
{2, 5124, 70388, 5124, 2},
{2, 5238, 357640, 357640, 5238, 2},
{2, 5384, 731806, 5783216, 731806, 5384, 2},
{2, 5566, 1208610, 38702622, 38702622, 1208610, 5566, 2},
{2, 5788, 1806416, 120409892, 713559004, 120409892, 1806416, 5788, 2},
{2, 6054, 2546916, 281752828, 5942715000, 5942715000, 281752828, 2546916, 6054, 2}
MATHEMATICA
Clear[A]; A[2, 1] := A[2, 2] = (5)!;
A[3, 2] = 2*(6)! - 4; A[4, 2] = A[4, 3] = (7)! - 2;
A[n_, 1] := 2; A[n_, n_] := 2;
A[n_, k_] := A[n - 1, k - 1] + A[n - 1, k] + (n + 1)*(n + 2)*A[n - 2, k - 1];
a = Table[A[n, k], {n, 10}, {k, n}]; Flatten[a]
Table[Apply[Plus, a[[n]]], {n, 1, 10}];
Table[Apply[Plus, a[[n]]]/(2*(n + 3)!), {n, 1, 10}]
CROSSREFS
Sequence in context: A221231 A243512 A165163 * A073785 A102355 A206355
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, Dec 30 2008
EXTENSIONS
Edited by N. J. A. Sloane, Jun 02 2009
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 February 28 00:59 EST 2024. Contains 370379 sequences. (Running on oeis4.)