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%I #4 Mar 30 2012 18:40:36
%S 1,1,2,1,2,3,1,3,3,5,1,4,5,6,8,1,5,8,9,11,14,1,6,13,14,17,20,24,1,7,
%T 19,24,37,31,37,44,1,8,26,43,44,51,58,68,81,1,9,34,69,81,87,95,109,
%U 126,149,1,10,43,103,149,150,168,182,204,235,274
%N Triangle, read by rows, where row n+1 is formed by sorting, in ascending order, the result of the convolution of row n with {1,2}.
%C See also: A103284 Triangle, read by rows, where row n+1 is formed by sorting, in ascending order, the result of the convolution of row n with {1,1}. Main diagonal is: 1, 2, 3, 5, 8, 14, 24, 44, 81, 149, 274,... This is lexicographically second of an infinite sequence of triangles such as Paul D. Hanna's A103284.
%e Convolution of row 5 {1,4,5,6,8} with {1,2} = {1,5,9,11,14,8}; sort to obtain row 6: {1,5,8,9,11,14}.
%e Rows begin:
%e 1,
%e 1,2,
%e 1,2,3,
%e 1,3,3,5,
%e 1,4,5,6,8,
%e 1,5,8,9,11,14,
%e 1,6,13,14,17,20,24,
%e 1,7,19,24,37,31,37,44,
%e 1,8,26,43,44,51,58,68,81,
%e 1,9,34,69,81,87,95,109,126,149,
%e 1,10,43,103,149,150,168,182,204,235,274,...
%Y Cf. A103284.
%K easy,nonn,tabl
%O 1,3
%A _Jonathan Vos Post_, Mar 16 2006
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