%I A149165
%S A149165 1,1,4,9,41,121,564,1898,8998,32554,156240,592929,2866956,11256910,54711837,
               220307006,
%T A149165 1074842238,4413112774,21592348681,90038673397,441513104951,1864452719636,
               9158651736488,
%U A149165 39082877245462,192260900527113,827716023610037,4076664109196259,17683747991284705
%N A149165 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), (-1, 0, 1), 
               (-1, 1, 1), (1, -1, -1), (1, 1, 0)}
%H A149165 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 A149165 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, k, -1 + n] + aux[-1 + 
               i, 1 + j, 1 + k, -1 + n] + aux[1 + i, -1 + j, -1 + k, -1 + n] + aux[1 
               + 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 A149165 Sequence in context: A041229 A042887 A053908 this_sequence A083859 A070761 
               A149166
%Y A149165 Adjacent sequences: A149162 A149163 A149164 this_sequence A149166 A149167 
               A149168
%K A149165 nonn,walk
%O A149165 0,3
%A A149165 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008