Search: id:A144159
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%I A144159
%S A144159 1,1,1,2,1,2,2,2,2,5,3,2,4,5,11,3,3,4,10,11,25,4,3,6,10,22,25,56,4,4,6,
%T A144159 15,22,50,56,126,5,4,8,15,33,50,112,126,283,5,5,8,20,33,75,112,252,283,
%U A144159 636
%N A144159 Eigentriangle, sum of row n terms = A006054(n+2).
%C A144159 Left border = (1, 1, 2, 2, 3, 3,...) Row sums = (1, 2, 5, 11, 25, 56, 
               126,...) = A006054 such that row n = A006054(n+2).
%C A144159 Sum of n-th row terms = rightmost term of next row.
%F A144159 Triangle read by rows, A * B, where A = an infinite lower triangular 
               matrix with A008619: (1, 1, 2, 2, 3, 3,...) in every column. B = 
               an infinite lower triangular matrix with A008619 as the main diagonal: 
               (1, 2, 5, 11, 25, 56, 126,...) and the rest zeros.
%e A144159 First few rows of the triangle =
%e A144159 1;
%e A144159 1, 1;
%e A144159 2, 1, 2;
%e A144159 2, 2, 2, 5;
%e A144159 3, 2, 4, 5, 11;
%e A144159 3, 3, 4, 10, 11, 25;
%e A144159 4, 3, 6, 10, 22, 25, 56;
%e A144159 4, 4, 6, 15, 22, 50, 56, 126;
%e A144159 5, 4, 8, 15, 33, 50, 112, 126, 283;
%e A144159 ...
%Y A144159 A006054, Cf. A008619
%Y A144159 Sequence in context: A058762 A029252 A094876 this_sequence A073610 A085693 
               A067995
%Y A144159 Adjacent sequences: A144156 A144157 A144158 this_sequence A144160 A144161 
               A144162
%K A144159 nonn,tabl
%O A144159 1,4
%A A144159 Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 12 2008

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