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A291895 Triangle read by rows: T(n,k) = T(n-k,k-1) + T(n-k,k) + T(n-k,k+1) with T(0,0) = 1. 6

%I #17 Sep 06 2017 03:39:17

%S 1,0,1,0,1,0,1,1,0,2,1,0,3,2,0,5,3,1,0,8,5,1,0,13,9,2,0,22,14,4,0,36,

%T 24,6,1,0,60,40,11,1,0,100,66,18,2,0,166,111,31,4,0,277,184,52,7,0,

%U 461,308,86,12,1,0,769,513,146,20,1,0,1282,855,243,35,2

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

%H Seiichi Manyama, <a href="/A291895/b291895.txt">Rows n = 0..481, flattened</a>

%e First few rows are:

%e 1;

%e 0, 1;

%e 0, 1;

%e 0, 1, 1;

%e 0, 2, 1;

%e 0, 3, 2;

%e 0, 5, 3, 1;

%e 0, 8, 5, 1;

%e 0, 13, 9, 2;

%e 0, 22, 14, 4;

%e 0, 36, 24, 6, 1.

%Y Row sums give A291896.

%Y Columns 0-1 give A000007, A186085 (for n>0).

%K nonn,tabf

%O 0,10

%A _Seiichi Manyama_, Sep 05 2017

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Last modified July 17 22:17 EDT 2024. Contains 374377 sequences. (Running on oeis4.)