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A099394 Triangle T(k,n) by rows: n! * A075499(k,n). 0

%I

%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. [From _Philippe Deléham_, Jun 04 2009]

%H T. Mansour, <a href="http://arXiv.org/abs/math.CO/0301157">Generalization of some identities involving the Fibonacci numbers</a>

%F T(n, k) = A028246(n+1, k+1)*4^(n-k) = Stirling-2(n+1, k+1)*k!*4^(n-k), see A008277 . - _Philippe Deléham_, Oct 02 2005

%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

%O 0,2

%A _Ralf Stephan_, Oct 21 2004

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Last modified November 26 19:05 EST 2014. Contains 250103 sequences.