%I A149305
%S A149305 1,1,4,11,48,157,707,2547,11728,44793,209515,830425,3928512,15975975,76204982,
               315911451,
%T A149305 1516208552,6380856199,30770097293,131072626339,634440420834,2729589294471,
               13252591412098,
%U A149305 57494028166843,279850008278954,1222697025739077,5964136075927073,26217164510751277
%N A149305 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, 0), (-1, 0, 1), 
               (-1, 1, 1), (1, 0, -1), (1, 0, 1)}
%H A149305 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 A149305 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, j, -1 + k, -1 + n] + aux[-1 + 
               i, 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, k, -1 + n]]; Table[Sum[aux[i, 
               j, k, n], {i, 0, n}, {j, 0, n}, {k, 0, n}], {n, 0, 10}]
%Y A149305 Sequence in context: A149303 A053882 A149304 this_sequence A149306 A149307 
               A149308
%Y A149305 Adjacent sequences: A149302 A149303 A149304 this_sequence A149306 A149307 
               A149308
%K A149305 nonn,walk
%O A149305 0,3
%A A149305 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008