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A292129 Triangle read by rows: T(n,k) = (-2) * T(n-k,k-1) + T(n-k,k) with T(0,0) = 1 for 0 <= k <= A003056(n). 1

%I #16 Dec 27 2023 12:22:31

%S 1,0,-2,0,-2,0,-2,4,0,-2,4,0,-2,8,0,-2,8,-8,0,-2,12,-8,0,-2,12,-16,0,

%T -2,16,-24,0,-2,16,-32,16,0,-2,20,-40,16,0,-2,20,-56,32,0,-2,24,-64,

%U 48,0,-2,24,-80,80,0,-2,28,-96,96,-32,0,-2,28,-112,144,-32,0

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

%H Seiichi Manyama, <a href="/A292129/b292129.txt">Rows n = 0..481, flattened</a>

%e First few rows are:

%e 1;

%e 0, -2;

%e 0, -2;

%e 0, -2, 4;

%e 0, -2, 4;

%e 0, -2, 8;

%e 0, -2, 8, -8;

%e 0, -2, 12, -8;

%e 0, -2, 12, -16;

%e 0, -2, 16, -24;

%e 0, -2, 16, -32, 16.

%Y Row sums give A070877.

%Y Columns 0-1 give A000007, (-1)*A007395.

%Y Cf. A003056, A291970.

%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.)