%I A106270
%S A106270 1,1,1,2,1,1,5,2,1,1,14,5,2,1,1,42,14,5,2,1,1,132,42,14,5,2,1,1,429,132,
%T A106270 42,14,5,2,1,1,1430,429,132,42,14,5,2,1,1,4862,1430,429,132,42,14,5,2,
               1,
%U A106270 1,16796,4862,1430,429,132,42,14,5,2,1,1,58786,16796,4862,1430,429,132
%V A106270 1,-1,1,-2,-1,1,-5,-2,-1,1,-14,-5,-2,-1,1,-42,-14,-5,-2,-1,1,-132,-42,
               -14,-5,-2,-1,1,
%W A106270 -429,-132,-42,-14,-5,-2,-1,1,-1430,-429,-132,-42,-14,-5,-2,-1,1,-4862,
               -1430,-429,-132,
%X A106270 -42,-14,-5,-2,-1,1,-16796,-4862,-1430,-429,-132,-42,-14,-5,-2,-1,1,-58786,
               -16796
%N A106270 Inverse of number triangle A106268.
%C A106270 Sequence array for the sequence a(n)=2*0^n-C(n). Row sums are A106271. 
               Diagonal sums are A106272.
%F A106270 Number triangle T(n, k)=if(k<=n, 2*0^(n-k)-C(n-k), 0); Riordan array 
               (2sqrt(1-4x)/(1+sqrt(1-4x)), x)=(c(x)sqrt(1-4x), x), c(x) the g.f. 
               of A000108.
%e A106270 Triangle begins
%e A106270 1;
%e A106270 -1,1;
%e A106270 -2,-1,1;
%e A106270 -5,-2,-1,1;
%e A106270 -14,-5,-2,-1,1;
%Y A106270 Sequence in context: A162470 A128604 A098885 this_sequence A047888 A128704 
               A075259
%Y A106270 Adjacent sequences: A106267 A106268 A106269 this_sequence A106271 A106272 
               A106273
%K A106270 easy,sign,tabl
%O A106270 0,4
%A A106270 Paul Barry (pbarry(AT)wit.ie), Apr 28 2005