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%I #17 Sep 07 2017 06:14:15
%S 1,0,3,0,3,0,3,9,0,3,9,0,3,18,0,3,18,27,0,3,27,27,0,3,27,54,0,3,36,81,
%T 0,3,36,108,81,0,3,45,135,81,0,3,45,189,162,0,3,54,216,243,0,3,54,270,
%U 405,0,3,63,324,486,243,0,3,63,378,729,243,0,3,72,432,891
%N Triangle read by rows: T(n,k) = 3 * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n).
%H Seiichi Manyama, <a href="/A291971/b291971.txt">Rows n = 0..481, flattened</a>
%e First few rows are:
%e 1;
%e 0, 3;
%e 0, 3;
%e 0, 3, 9;
%e 0, 3, 9;
%e 0, 3, 18;
%e 0, 3, 18, 27;
%e 0, 3, 27, 27;
%e 0, 3, 27, 54;
%e 0, 3, 36, 81;
%e 0, 3, 36, 108, 81.
%Y Row sums give A032308.
%Y Columns 0-1 give A000007, A010701.
%Y Cf. A008289 (m=1), A291970 (m=2), this sequence (m=3).
%K nonn,tabf,look
%O 0,3
%A _Seiichi Manyama_, Sep 07 2017
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