Search: id:A145975
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%I A145975
%S A145975 1,1,1,2,1,1,3,2,1,0,5,3,2,0,0,7,5,3,0,0,1,11,7,5,0,0,1,0,15,
%T A145975 11,7,0,0,2,0,1,22,15,11,0,0,3,0,1,0,30,22,15,0,0,5,0,2,0,42,30,
%U A145975 22,0,0,7,0,3,0,0,0,56,42,30,0,0,11,0,5,0,0,0,0
%V A145975 1,1,-1,2,-1,-1,3,-2,-1,0,5,-3,-2,0,0,7,-5,-3,0,0,1,11,-7,-5,0,0,1,0,15,
%W A145975 -11,-7,0,0,2,0,1,22,-15,-11,0,0,3,0,1,0,30,-22,-15,0,0,5,0,2,0,42,-30,
%X A145975 -22,0,0,7,0,3,0,0,0,56,-42,-30,0,0,11,0,5,0,0,0,0
%N A145975 Triangle read by rows, partition triangle A027293 convolved with A010815.
%C A145975 Row sums = [1, 0, 0, 0,...]. (a set of matrix operations equivalent to 
               the comment in A010815 that "convolved with the partition numbers 
               = [1, 0, 0, 0,...].
%F A145975 Triangle read by rows, = (A027293 * (A010815 * 0^(n-k)); 0<=k<=n. A027293 
               = an infinite lower triangular matrix with A000041 in every column 
               (the partition numbers). A010815 = (1, -1, -1, 0, 0, 1,...)
%e A145975 First few rows of the triangle =
%e A145975 1;
%e A145975 1, -1;
%e A145975 2, -1, -1;
%e A145975 3, -2, -1, 0;
%e A145975 5, -3, -2, 0, 0;
%e A145975 7, -5, -3, 0, 0, 1;
%e A145975 11, -7, -5, 0, 0, 1, 0;
%e A145975 15, -11, -7, 0, 0, 2, 0, 1;
%e A145975 22, -15, -11, 0, 0, 3, 0, 1, 0;
%e A145975 30, -22, -15, 0, 0, 5, 0, 2, 0, 0;
%e A145975 42, -30, -22, 0, 0, 7, 0, 3, 0, 0, 0;
%e A145975 ...
%Y A145975 A027293, Cf. A010815, A000041
%Y A145975 Sequence in context: A046223 A073463 A127948 this_sequence A026792 A139100 
               A036037
%Y A145975 Adjacent sequences: A145972 A145973 A145974 this_sequence A145976 A145977 
               A145978
%K A145975 tabl,sign
%O A145975 1,4
%A A145975 Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 25 2008

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