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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.

%I A291895 #17 Sep 06 2017 03:39:17
%S A291895 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 A291895 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 A291895 461,308,86,12,1,0,769,513,146,20,1,0,1282,855,243,35,2
%N 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.
%H A291895 Seiichi Manyama, <a href="/A291895/b291895.txt">Rows n = 0..481, flattened</a>
%e A291895 First few rows are:
%e A291895   1;
%e A291895   0,  1;
%e A291895   0,  1;
%e A291895   0,  1,  1;
%e A291895   0,  2,  1;
%e A291895   0,  3,  2;
%e A291895   0,  5,  3, 1;
%e A291895   0,  8,  5, 1;
%e A291895   0, 13,  9, 2;
%e A291895   0, 22, 14, 4;
%e A291895   0, 36, 24, 6, 1.
%Y A291895 Row sums give A291896.
%Y A291895 Columns 0-1 give A000007, A186085 (for n>0).
%K A291895 nonn,tabf
%O A291895 0,10
%A A291895 _Seiichi Manyama_, Sep 05 2017