Search: id:A134059
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%I A134059
%S A134059 1,3,3,3,6,3,3,9,9,3,3,12,18,12,3,3,15,30,30,15,3,3,18,45,60,45,18,3,3,
%T A134059 21,63,105,105,63,21,3,3,24,84,168,210,168,84,24,3,3,27,108,252,378,378,
%U A134059 252,108,27,3
%N A134059 T(n,k) = 3*binomial(n,k), if k>0, (0<=k<=n), left column = (1,3,3,3,...).
%C A134059 Row sums = A082505: (1, 6, 12, 24, 48, 96,...). A134058 = analogous triangle 
               using the operation 2*binomial(n,k).
%C A134059 Triangle T(n,k), 0<=k<=n, read by rows given by [3, -2, 0, 0, 0, 0, 0, 
               ...]DELTA [3, -2, 0, 0, 0, 0, 0, ...] where DELTA is the operator 
               defined in A084938 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Oct 07 2007
%F A134059 M*A003718, where M = an infinite lower triangular matrix with (1,3,3,
               3,...) in the main diagonal and the rest zeros. 3*Pascal's triangle, 
               then replace T(0,0) with 1.
%e A134059 First few rows of the triangle are:
%e A134059 1;
%e A134059 3, 3;
%e A134059 3, 6, 3;
%e A134059 3, 9, 9, 3;
%e A134059 3, 12, 18, 12, 3;
%e A134059 3, 15, 30, 30, 15, 3;
%e A134059 3, 18, 45, 60, 45, 18, 3;
%e A134059 ...
%Y A134059 Cf. A082505, A134058.
%Y A134059 Sequence in context: A100026 A100049 A158315 this_sequence A112669 A098529 
               A133774
%Y A134059 Adjacent sequences: A134056 A134057 A134058 this_sequence A134060 A134061 
               A134062
%K A134059 nonn,tabl
%O A134059 0,2
%A A134059 Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 05 2007

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