%I A150758
%S A150758 1,2,8,29,136,569,2745,12313,60047,278785,1370631,6489242,32063338,153792544,
               762138261,
%T A150758 3688921333,18318089997,89237992514,443789885981,2172310292634,10814897638178,
               53131649255585,
%U A150758 264732166502829,1304291033304278,6502789627778453,32110558081119880,160171847394826059
%N A150758 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, 1, -1), 
               (0, 1, 1), (1, 0, 1), (1, 1, -1)}
%H A150758 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 A150758 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, -1 + k, -1 + n] + aux[i, 
               -1 + 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 A150758 Sequence in context: A150755 A150756 A150757 this_sequence A009419 A000162 
               A052437
%Y A150758 Adjacent sequences: A150755 A150756 A150757 this_sequence A150759 A150760 
               A150761
%K A150758 nonn,walk
%O A150758 0,2
%A A150758 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008