Search: id:A112883
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%I A112883
%S A112883 1,0,1,0,1,3,0,0,2,5,0,0,1,7,11,0,0,0,3,16,21,0,0,0,1,12,41,43,0,0,0,0,
%T A112883 4,34,94,85,0,0,0,0,1,18,99,219,171,0,0,0,0,0,5,60,261,492,341,0,0,0,0,
%U A112883 0,1,25,195,678,1101,683,0,0,0,0,0,0,6,95,576,1692,2426,1365,0,0,0,0,0
%N A112883 A skew Jacobsthal-Pascal matrix.
%C A112883 T(n,n) is A001045(n), row sums are A006130, column sums are A002605. 
               Compare with [0,1,-1,0,0,..] DELTA [1,2,-2,0,0,...] where DELTA is 
               the operator defined in A084938. A skewed version of the Riordan 
               array (1/(1-x-2x^2),x/(1-x-2x^2)) (A073370).
%C A112883 Modulo 2, this sequence gives A106344 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Dec 18 2008]
%F A112883 G.f.: 1/(1-yx(1-x)-2x^2*y*2); Number triangle T(n, k)=sum{j=0..2k-n, 
               C(n-k+j, n-k)C(j, 2k-n-j)2^(2k-n-j)}; T(n, k)=A073370(k, n-k); T(n, 
               k) = T(n-1, k-1) + T(n-2, k-1) +2*T(n-2, k-2) (Philippe Deleham).
%e A112883 Rows begin
%e A112883 1;
%e A112883 0, 1;
%e A112883 0, 1, 3;
%e A112883 0, 0, 2, 5;
%e A112883 0, 0, 1, 7, 11;
%e A112883 0, 0, 0, 3, 16, 21;
%e A112883 0, 0, 0, 1, 12, 41, 43;
%e A112883 0, 0, 0, 0, 4, 34, 94, 85;
%e A112883 0, 0, 0, 0, 1, 18, 99, 219, 171;
%e A112883 0, 0, 0, 0, 0, 5, 60, 261, 492, 341;
%e A112883 0, 0, 0, 0, 0, 1, 25, 195, 678, 1101, 683;
%Y A112883 Cf. A111006.
%Y A112883 Sequence in context: A108930 A059682 A156548 this_sequence A117138 A095104 
               A021337
%Y A112883 Adjacent sequences: A112880 A112881 A112882 this_sequence A112884 A112885 
               A112886
%K A112883 easy,nonn,tabl
%O A112883 0,6
%A A112883 Paul Barry (pbarry(AT)wit.ie), Oct 05 2005

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