%I A114002
%S A114002 1,2,1,2,0,1,2,2,0,1,2,0,0,0,1,2,2,2,0,0,1,2,0,0,0,0,0,1,2,2,0,2,0,0,0,
%T A114002 1,2,0,2,0,0,0,0,0,1,2,2,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,2,2,2,2,
%U A114002 0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,2,0,0,0,0,0,0,1
%N A114002 Expansion of x^k(1+x^(k+1))/(1-x^(k+1)).
%C A114002 Inverse is A114004. Row sums are A114003.
%F A114002 Column k has g.f. x^k(1+x^(k+1))/(1-x^(k+1))
%F A114002 Equals 2*A051731 - I, I = Identity matrix. - Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Nov 07 2007
%e A114002 Triangle begins
%e A114002 1;
%e A114002 2,1;
%e A114002 2,0,1;
%e A114002 2,2,0,1;
%e A114002 2,0,0,0,1;
%e A114002 2,2,2,0,0,1;
%e A114002 2,0,0,0,0,0,1;
%Y A114002 Cf. A051731.
%Y A114002 Sequence in context: A135387 A127442 A115628 this_sequence A114004 A049986 
               A137289
%Y A114002 Adjacent sequences: A113999 A114000 A114001 this_sequence A114003 A114004 
               A114005
%K A114002 easy,nonn,tabl
%O A114002 0,2
%A A114002 Paul Barry (pbarry(AT)wit.ie), Nov 12 2005