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A292130 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). 2

%I #14 Sep 09 2017 12:15:35

%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,

%T -54,0,-3,36,-81,0,-3,36,-108,81,0,-3,45,-135,81,0,-3,45,-189,162,0,

%U -3,54,-216,243,0,-3,54,-270,405,0,-3,63,-324,486,-243,0,-3,63,-378

%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="/A292130/b292130.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 A292128.

%Y Columns 0-1 give A000007, (-1)*A010701.

%Y Cf. A291971.

%K sign,tabf

%O 0,3

%A _Seiichi Manyama_, Sep 09 2017

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)