A099394 Triangle T(k,n) by rows: n! * A075499(k,n).

1, 4, 1, 16, 12, 2, 64, 112, 48, 6, 256, 960, 800, 240, 24, 1024, 7936, 11520, 6240, 1440, 120, 4096, 64512, 154112, 134400, 53760, 10080, 720, 16384, 520192, 1978368, 2612736, 1612800, 510720, 80640, 5040, 65536, 4177920, 24780800

Offset: 0

Author

Ralf Stephan, Oct 21 2004

Keywords

• nonn
• tabl

Comments

Triangle given by [4,0,8,0,12,0,16,0,20,0,24,0,28,0,...] DELTA [1,1,2,2,3,3,4,4,5,5,6,6,...] where DELTA is the operator defined in A084938. - Philippe Deléham, Jun 04 2009

Examples

			Triangle begins:
     1;
     4,    1;
    16,   12,     2;
    64,  112,    48,    6;
   256,  960,   800,  240,   24;
  1024, 7936, 11520, 6240, 1440, 120;
		

Links

• Toufik Mansour, Generalization of some identities involving the Fibonacci numbers, arXiv:math/0301157 [math.CO], 2003.

Formula

T(n, k) = A028246(n+1, k+1)*4^(n-k) = Stirling2(n+1, k+1)*k!*4^(n-k), see A008277. - Philippe Deléham, Oct 02 2005