Search: id:A102365
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%I A102365
%S A102365 1,1,0,1,1,0,1,5,1,0,1,18,15,1,0,1,58,129,37,1,0,1,179,877,646,83,1,0,
%T A102365 1,543,5280,8030,2685,177,1,0,1,1636,29658,82610,56285,10002,367,
%U A102365 1,0,1,4916,159742,756218,919615,335162,34777,749,1,0
%N A102365 Triangle T(n,k), 0<=k<=n, read by rows: given by [ 1, 0, 3, 0, 5, 0, 
               7, 0, 9, 0, ...] DELTA [ 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] where 
               DELTA is the operator defined in A084938.
%C A102365 Generalized Eulerian numbers A008292.
%F A102365 T(n, k) = (n-k)*T(n-1, k-1) + (2*k+1)*T(n-1, k) with T(0, 0) = 1, T(0, 
               k) = 0 if k>0, T(n, k) = 0 if k<0.
%F A102365 Sum_{k>=0} T(n, k)*2^k = A001147(n).
%F A102365 Sum_{k>=0} T(n, k) = A014307(n) . - Philippe DELEHAM, Mar 19 2005
%e A102365 1; 1, 0; 1, 1, 0; 1, 5, 1, 0; 1, 18, 15, 1, 0; 1, 58, 129, 37, 1, 0; 
               ...
%Y A102365 Diagonals : A000012, A000340; A000007, A000012, A050488.
%Y A102365 Sequence in context: A019755 A085475 A157012 this_sequence A102259 A021200 
               A019904
%Y A102365 Adjacent sequences: A102362 A102363 A102364 this_sequence A102366 A102367 
               A102368
%K A102365 nonn,easy,tabl
%O A102365 0,8
%A A102365 DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 22 2005

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