Search: id:A139633
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%I A139633
%S A139633 1,1,1,1,2,3,1,3,9,2,1,4,18,8,5,1,5,30,20,25,3,1,6,45,40,75,18,7,1,7,63,
%T A139633 70,175,63,49,4,1,8,84,112,350,168,196,32,9,1,9,108,168,630,378,588,144,
%U A139633 81,5,1,10,135,240,1050,756,1470,480,405,50,11,1,11,165,330,1650,1386
%N A139633 Triangle read by rows: binomial transform of a diagonalized matrix of 
               A026741.
%C A139633 Row sums = A084860: (1, 2, 6, 15, 36, 84, 192,...).
%F A139633 Let X = a diagonalized matrix of A026741: [1; 0,1; 0,0,3; 0,0,0,2;], 
               where the first few nonzero terms of A026741 are (1, 1, 3, 2, 5, 
               3, 7,...). The triangle = A007318 * X.
%e A139633 First few rows of the triangle are:
%e A139633 1;
%e A139633 1, 1;
%e A139633 1, 2, 3;
%e A139633 1, 3, 9, 2;
%e A139633 1, 4, 18, 8, 5;
%e A139633 1, 5, 30, 20, 25, 3;
%e A139633 1, 6, 45, 40, 75, 18, 7;
%e A139633 1, 7, 63, 70, 175, 63, 49, 4;
%e A139633 ...
%Y A139633 Cf. A026741, A084860.
%Y A139633 Sequence in context: A130477 A058127 A133935 this_sequence A152440 A134319 
               A135091
%Y A139633 Adjacent sequences: A139630 A139631 A139632 this_sequence A139634 A139635 
               A139636
%K A139633 nonn,tabl
%O A139633 1,5
%A A139633 Gary W. Adamson and Roger L. Bagula (qntmpkt(AT)yahoo.com), Apr 27 2008

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