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A291940 Triangle read by rows: T(n,k) = T(n-k,k-1) - 2*T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n). 3

%I

%S 1,0,1,0,-2,0,4,1,0,-7,-2,0,12,2,0,-22,-3,1,0,41,8,-2,0,-74,-15,2,0,

%T 133,23,-5,0,-243,-42,12,1,0,444,82,-19,-2,0,-806,-147,33,2,0,1465,

%U 261,-65,-5,0,-2669,-479,118,10,0,4859,878,-211,-15,1,0,-8840,-1593,386

%N Triangle read by rows: T(n,k) = T(n-k,k-1) - 2*T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).

%H Seiichi Manyama, <a href="/A291940/b291940.txt">Rows n = 0..481, flattened</a>

%e First few rows are:

%e 1;

%e 0, 1;

%e 0, -2;

%e 0, 4, 1;

%e 0, -7, -2;

%e 0, 12, 2;

%e 0, -22, -3, 1;

%e 0, 41, 8, -2;

%e 0, -74, -15, 2;

%e 0, 133, 23, -5;

%e 0, -243, -42, 12, 1.

%Y Row sums give A291942.

%Y Columns 0-1 give A000007, (-1)*A275762 (for n>0).

%Y Cf. A008289, A291895, A291929.

%K sign,tabf

%O 0,5

%A _Seiichi Manyama_, Sep 06 2017

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Last modified June 1 09:53 EDT 2020. Contains 334762 sequences. (Running on oeis4.)