A099394 - OEIS

%I #19 Jan 25 2020 02:28:48

%S 1,4,1,16,12,2,64,112,48,6,256,960,800,240,24,1024,7936,11520,6240,

%T 1440,120,4096,64512,154112,134400,53760,10080,720,16384,520192,

%U 1978368,2612736,1612800,510720,80640,5040,65536,4177920,24780800

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

%C 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

%H Toufik Mansour, <a href="https://arxiv.org/abs/math/0301157">Generalization of some identities involving the Fibonacci numbers</a>, arXiv:math/0301157 [math.CO], 2003.

%F 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

%e Triangle begins:

%e      1;

%e      4,    1;

%e     16,   12,     2;

%e     64,  112,    48,    6;

%e    256,  960,   800,  240,   24;

%e   1024, 7936, 11520, 6240, 1440, 120;

%K nonn,tabl

%O 0,2

%A _Ralf Stephan_, Oct 21 2004