A291971 - OEIS

A291971

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).

%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, 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