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A316354 Triangle read by rows: T(1,1)=1, T(n,k) = T(n,k+1)+T(n-k,max(2*floor(k/2)-1,1)) and T(n,k) = 0 if k > A316355(n).

%I A316354 #26 Jun 30 2018 09:45:09
%S A316354 1,1,2,1,4,2,1,7,3,1,13,6,2,24,11,4,45,21,8,1,84,39,15,2,1,156,72,27,
%T A316354 3,1,291,135,51,6,2,543,252,96,12,4,1013,470,179,23,8,1889,876,333,42,
%U A316354 15,3524,1635,622,79,28,1,6575,3051,1162,149,53,2,1,12266,5691
%N A316354 Triangle read by rows: T(1,1)=1, T(n,k) = T(n,k+1)+T(n-k,max(2*floor(k/2)-1,1)) and T(n,k) = 0 if k > A316355(n).
%H A316354 Seiichi Manyama, <a href="/A316354/b316354.txt">Rows n = 1..402, flattened</a>
%e A316354   n\k |   1   2   3  4  5
%e A316354   ----+-------------------
%e A316354    1  |   1;
%e A316354    2  |   1;
%e A316354    3  |   2,  1;
%e A316354    4  |   4,  2,  1;
%e A316354    5  |   7,  3,  1;
%e A316354    6  |  13,  6,  2;
%e A316354    7  |  24, 11,  4;
%e A316354    8  |  45, 21,  8, 1;
%e A316354    9  |  84, 39, 15, 2, 1;
%e A316354   10  | 156, 72, 27, 3, 1;
%Y A316354 Columns 1,2 give A224704, A316356 (for n>0).
%Y A316354 Cf. A052928, A288267, A316355.
%K A316354 nonn,tabf
%O A316354 1,3
%A A316354 _Seiichi Manyama_, Jun 30 2018