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A167684 Triangle read by rows given by [2,-1,1,-2,0,0,0,0,0,0,0,...] DELTA [1,0,1,-1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. 0

%I #8 Nov 09 2013 14:16:34

%S 1,2,1,2,3,1,0,2,3,1,0,0,2,3,1,0,0,0,2,3,1,0,0,0,0,2,3,1,0,0,0,0,0,2,

%T 3,1,0,0,0,0,0,0,2,3,1,0,0,0,0,0,0,0,2,3,1,0,0,0,0,0,0,0,0,2,3,1,0,0,

%U 0,0,0,0,0,0,0,2,3,1,0,0,0,0,0,0,0,0,0,0,2,3,1,0,0,0,0,0,0,0,0,0,0,0,2,3,1

%N Triangle read by rows given by [2,-1,1,-2,0,0,0,0,0,0,0,...] DELTA [1,0,1,-1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.

%F G.f.: (1+2*x+2*x^2+x^2*y)/(1-x*y). - _Philippe Deléham_, Nov 09 2013

%F T(n,k) = T(n-1,k-1) for n>2, T(0,0) = T(1,1) = T(2,2) = 1, T(1,0) = T(2,0) = 2, T(2,1) = 3, T(n,k) = 0 if k<0 or if k>n. - _Philippe Deléham_, Nov 09 2013

%e Triangle begins :

%e 1 ;

%e 2,1 ;

%e 2,3,1 ;

%e 0,2,3,1 ;

%e 0,0,2,3,1 ;

%e 0,0,0,2,3,1 ;

%e 0,0,0,0,2,3,1 ; ...

%K nonn,tabl

%O 0,2

%A _Philippe Deléham_, Nov 09 2009

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Last modified April 19 11:31 EDT 2024. Contains 371792 sequences. (Running on oeis4.)