Search: id:A147703
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%I A147703
%S A147703 1,1,1,2,3,1,5,9,5,1,13,27,20,7,1,34,80,73,35,9,1,89,234,252,151,54,11,
%T A147703 1,233,677,837,597,269,77,13,1,610,1941,2702,2225,1199,435,104,15,1,
%U A147703 1597,5523,8533,7943,4956,2158,657,135,17,1
%N A147703 Triangle [1,1,1,0,0,0,...] DELTA [1,0,0,0,.....] with Deleham DELTA defined 
               in A084938.
%C A147703 Row sums are A006012. Diagonal sums are A147704. Equal to A062110*A007318 
               when A062110 is regarded as a triangle read by rows.
%F A147703 Riordan array ((1-2x)/(1-3x+x^2), x(1-x)/(1-3x+x^2)).
%F A147703 Sum_{k, 0<=k<=n}T(n,k)*x^k = A152239(n), A152223(n), A152185(n), A152174(n), 
               A152167(n), A152166(n), A152163(n), A000007(n), A001519(n), A006012(n), 
               A081704(n), A082761(n), A147837(n), A147838(n), A147839(n), A147840(n), 
               A147841(n), for x = -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 
               5, 6, 7, 8 respectively . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Dec 01 2008]
%e A147703 Triangle begins
%e A147703 1,
%e A147703 1, 1,
%e A147703 2, 3, 1,
%e A147703 5, 9, 5, 1,
%e A147703 13, 27, 20, 7, 1,
%e A147703 34, 80, 73, 35, 9, 1,
%e A147703 89, 234, 252, 151, 54, 11, 1
%Y A147703 Sequence in context: A065883 A071975 A055905 this_sequence A147747 A039599 
               A154380
%Y A147703 Adjacent sequences: A147700 A147701 A147702 this_sequence A147704 A147705 
               A147706
%K A147703 easy,nonn,tabl
%O A147703 0,4
%A A147703 Paul Barry (pbarry(AT)wit.ie), Nov 10 2008

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