Search: id:A157424
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%I A157424
%S A157424 1,0,1,0,0,1,1,0,0,1,0,1,0,0,2,1,0,1,0,0,3,0,1,0,1,0,0,5,1,0,1,0,1,0,0,
%T A157424 7,1,1,0,1,0,3,0,0,11,1,1,1,0,2,0,5,0,0,0,17,0,1,1,1,0,3,0,7,0,0,27,1,
               0,
%U A157424 1,1,2,0,5,0,11,0,0,40
%N A157424 Triangle read by rows, A157423 * ((A052284 * 0^(n-k))
%C A157424 Row sums = A052284 starting with offset 1: (1, 1, 1, 2, 3, 5, 7, 11, 
               17,...). As a property of eigentriangles, sum of n-th row terms = 
               rightmost term of next row.
%F A157424 Triangle read by rows, A157423 * ((A052284 * 0^(n-k)). A157423 = an infinite 
               lower triangular matrix with A005171 in every column. ((A052284 * 
               0^(n-k)) = an infinite lower triangular matrix with A052284: (1, 
               1, 1, 1, 2, 3, 5, 7, 11, 17, 27,...) as the main diagonal and the 
               rest zeros.
%e A157424 First few rows of the triangle =
%e A157424 1;
%e A157424 0, 1;
%e A157424 0, 0, 1;
%e A157424 1, 0, 0, 1;
%e A157424 0, 1, 0, 0, 2;
%e A157424 1, 0, 1, 0, 0, 3;
%e A157424 0, 1, 0, 1, 0, 0, 5;
%e A157424 1, 0, 1, 0, 2, 0, 0, 7;
%e A157424 1, 1, 0, 1, 0, 3, 0, 0, 11;
%e A157424 1, 1, 1, 0, 2, 0, 5,0, 0, 17;
%e A157424 0, 1, 1, 1, 0, 3, 0, 7, 0, 0, 27;
%e A157424 1, 0, 1, 1, 2, 0, 5, 0, 11, 0, 0, 40;
%e A157424 0, 1, 0, 1, 2, 3, 0, 7, 0, 17, 0, 0, 61;
%e A157424 1, 0, 1, 0, 2, 3, 5, 0, 11, 0, 27, 0, 0, 92;
%e A157424 ...
%e A157424 Example: row 5 = (0, 1, 0, 0, 2) = termwise products of (0, 1, 0, 0, 
               1) and
%e A157424 (1, 1, 1, 1, 2); where (0, 1, 0, 0, 2) = row 5 of triangle A157423 and
%e A157424 (1, 1, 1, 1, 2) = the first 5 terms of A052284.
%Y A157424 Cf. A157423, A005171, A052284
%Y A157424 Sequence in context: A128617 A116488 A145765 this_sequence A144961 A144627 
               A135929
%Y A157424 Adjacent sequences: A157421 A157422 A157423 this_sequence A157425 A157426 
               A157427
%K A157424 nonn,tabl
%O A157424 1,15
%A A157424 Gary W. Adamson & Mats Granvik (qntmpkt(AT)yahoo.com), Feb 28 2009

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