%I A151133
%S A151133 1,3,11,45,199,907,4230,20033,95911,462904,2247962,10968589,53721197,263906906,
               1299630087,
%T A151133 6413037954,31698197261,156896920042,777515340136,3856929118269,19149163595612,
               95144059740028,
%U A151133 473036014994715,2353159229072661,11711770890571388,58315249692444070,
               290474484967129825
%N A151133 Number of walks within N^3 (the first octant of Z^3) starting at (0,0,
               0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, 1), 
               (0, 1, 0), (1, 0, 1), (1, 1, -1)}
%H A151133 A. Bostan and M. Kauers, 2008. Automatic Classification of Restricted 
               Lattice Walks, <a href="http://arxiv.org/abs/0811.2899">ArXiv 0811.2899</
               a>.
%t A151133 aux[i_Integer, j_Integer, k_Integer, n_Integer] := Which[Min[i, j, k, 
               n] < 0 || Max[i, j, k] > n, 0, n == 0, KroneckerDelta[i, j, k, n], 
               True, aux[i, j, k, n] = aux[-1 + i, -1 + j, 1 + k, -1 + n] + aux[-1 
               + i, j, -1 + k, -1 + n] + aux[i, -1 + j, k, -1 + n] + aux[i, j, -1 
               + k, -1 + n] + aux[1 + i, 1 + j, -1 + k, -1 + n]]; Table[Sum[aux[i, 
               j, k, n], {i, 0, n}, {j, 0, n}, {k, 0, n}], {n, 0, 10}]
%Y A151133 Sequence in context: A001003 A151131 A151132 this_sequence A083886 A030866 
               A030941
%Y A151133 Adjacent sequences: A151130 A151131 A151132 this_sequence A151134 A151135 
               A151136
%K A151133 nonn,walk
%O A151133 0,2
%A A151133 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008