%I A144254
%S A144254 1,2,1,3,4,3,4,10,18,10,5,20,63,80,42,6,35,168,360,420,210,7,56,378,
%T A144254 1200,2310,2520,1199,8,84,756,3300,9240,16380,16786,7670,9,120,1386,
%U A144254 7920,30030,76440,125895,122720,54224,10,165,2376,17160,84084,286650
%N A144254 Eigentriangle by rows, termwise products of A078812 and its eigensequence, 
               A125274.
%C A144254 Right border A144253 = A125274, the eigensequence of A078812: (1, 1, 
               3, 10, 42, 210, 1199,...).
%C A144254 Row sums = A125274 shifted.
%C A144254 Sum of row n terms = rightmost term of next row.
%F A144254 Eigensequence by rows, T(n,k) = A078812(n,k) * A125274(k).
%e A144254 First few rows of the triangle =
%e A144254 1;
%e A144254 2, 1;
%e A144254 3, 4, 3;
%e A144254 4, 10, 18, 10;
%e A144254 5, 20, 63, 80, 42;
%e A144254 6, 35, 168, 360, 420, 210;
%e A144254 7, 56, 378, 1200, 2310, 2520, 1199;
%e A144254 ...
%e A144254 Triangle A078812 begins:
%e A144254 1;
%e A144254 2, 1;
%e A144254 3, 4, 1;
%e A144254 4, 10, 6, 1;
%e A144254 5, 20, 21, 8, 1;
%e A144254 ...
%e A144254 Its eigensequence = A125274: (1, 1, 3, 10, 42, 210, 1199,...).
%e A144254 Row 3 of triangle A144253 = termwise products of (4, 10, 6, 1) and (1, 
               1, 3, 10) = (4*1, 10*1, 6*3, 1*10).
%Y A144254 A078812, Cf. A125274
%Y A144254 Sequence in context: A050273 A122530 A022466 this_sequence A133310 A077608 
               A002124
%Y A144254 Adjacent sequences: A144251 A144252 A144253 this_sequence A144255 A144256 
               A144257
%K A144254 nonn,tabl
%O A144254 1,2
%A A144254 Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 16 2008