%I
%S 1,1,1,1,2,1,1,3,2,1,1,4,4,3,1,1,5,6,7,3,1,1,6,9,13,9,4,1,1,7,12,22,
%T 19,14,4,1,1,8,16,34,39,35,17,5,1,1,9,20,50,67,81,49,24,5,1,1,10,25,
%U 70,113,159,137,80,29,6,1,1,11,30,95,173,296,306,252,110,38,6,1,1,12,36,125
%N Triangle, read by rows, such that diagonal n is equal to the Euler transform of row n, where each row starts with 1.
%C Row sums are A093629. Central terms in even rows form A093630.
%e The Euler transform of row 4: [1,4,4,3,1], equals diagonal 4: [1,5,9,22,39,81, 137,...]; the main diagonal has an index of zero.
%e Rows begin:
%e [1],
%e [1,1],
%e [1,2,1],
%e [1,3,2,1],
%e [1,4,4,3,1],
%e [1,5,6,7,3,1],
%e [1,6,9,13,9,4,1],
%e [1,7,12,22,19,14,4,1],
%e [1,8,16,34,39,35,17,5,1],
%e [1,9,20,50,67,81,49,24,5,1],
%e [1,10,25,70,113,159,137,80,29,6,1],
%e [1,11,30,95,173,296,306,252,110,38,6,1],
%e [1,12,36,125,262,503,657,637,413,165,45,7,1],...
%Y Cf. A093629, A093630.
%K nonn,tabl
%O 0,5
%A _Paul D. Hanna_, Apr 06 2004
