Search: id:A157905
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%I A157905
%S A157905 1,1,1,1,1,2,1,1,2,4,2,1,2,4,8,3,2,2,4,8,17,6,3,4,4,8,17,36,11,6,6,8,8,
%T A157905 17,36,78,23,11,12,12,16,17,36,78,170,47,23,22,24,24,34,36,78,170,375,
%U A157905 106,47,46,44,48,51,72,78,170,375,833
%N A157905 Triangle read by rows, T(n,k) = A000055(n-k) * (A157904 * 0^(n-k))
%C A157905 Row sums = A157904: (1, 2, 4, 8, 17, 36, 78, 170, 375,...). As a property 
               of eigentriangles, sum of n-th row terms = rightmost term of next 
               row. Left border = A000055.
%F A157905 Triangle read by rows, T(n,k) = A000055(n-k) * (A157904 * 0^(n-k)). A000055(n-k) 
               = an infinite lower triangular matrix with A000055 in every column: 
               (1, 1, 1, 1, 2, 3, 6, 11, 23,...). (A157904 * 0^(n-k)) = a matrix 
               with A157904 as the diagonal and the rest zeros.
%e A157905 First few rows of the triangle =
%e A157905 1;
%e A157905 1, 1;
%e A157905 1, 1, 2;
%e A157905 1, 1, 2, 4;
%e A157905 2, 1, 2, 4, 8;
%e A157905 3, 2, 2, 4, 8, 17;
%e A157905 6, 3, 4, 4, 8, 17, 36;
%e A157905 11, 6, 6, 8, 8, 17, 36, 78;
%e A157905 23, 11, 12, 12, 16, 17, 36, 78, 170;
%e A157905 47, 23, 22, 24, 24, 34, 36, 78, 170, 375;
%e A157905 106, 47, 46, 44, 48, 51, 72, 78, 170, 375, 833;
%e A157905 235, 106, 94, 92, 88, 102, 108, 156, 170, 375, 833, 1870;
%e A157905 ...
%e A157905 Row 5 = (3, 2, 2, 4, 8, 17) = termwise products of (3, 2, 1, 1, 1, 1) 
               and (1, 1, 2, 4, 8, 17).
%Y A157905 Cf. A000055, A157904
%Y A157905 Sequence in context: A097853 A160266 A023504 this_sequence A027113 A096470 
               A085143
%Y A157905 Adjacent sequences: A157902 A157903 A157904 this_sequence A157906 A157907 
               A157908
%K A157905 nonn,tabl
%O A157905 0,6
%A A157905 Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 08 2009

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