%I A149119
%S A149119 1,1,4,9,32,103,361,1291,4776,17539,67577,255967,1001804,3907961,15484786,
               61440637,246958922,
%T A149119 990680625,4026610245,16324121493,66857579486,273568388471,1127916470190,
               4647900956921,
%U A149119 19282067260636,79920524162991,333276886331913,1388649016525857,5815906328368270
%N A149119 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, 0, 1), (0, -1, 0), (1, 1, 0)}
%H A149119 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 A149119 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[i, 1 
               + j, k, -1 + n] + aux[1 + i, 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 A149119 Sequence in context: A149116 A149117 A149118 this_sequence A149120 A057819 
               A129196
%Y A149119 Adjacent sequences: A149116 A149117 A149118 this_sequence A149120 A149121 
               A149122
%K A149119 nonn,walk
%O A149119 0,3
%A A149119 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008