%I A149304
%S A149304 1,1,4,11,48,153,695,2461,11430,42933,202241,790669,3760536,15125411,72443050,
               297652719,
%T A149304 1433159704,5986967421,28945946323,122535705935,594410042334,2543786121717,
               12373361059432,
%U A149304 53434246508299,260504421338140,1133661768994795,5537534006629171,24257661377551561
%N A149304 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, 0, -1), (1, 0, 1)}
%H A149304 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 A149304 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, 1 + k, -1 + n]]; Table[Sum[aux[i, 
               j, k, n], {i, 0, n}, {j, 0, n}, {k, 0, n}], {n, 0, 10}]
%Y A149304 Sequence in context: A149302 A149303 A053882 this_sequence A149305 A149306 
               A149307
%Y A149304 Adjacent sequences: A149301 A149302 A149303 this_sequence A149305 A149306 
               A149307
%K A149304 nonn,walk
%O A149304 0,3
%A A149304 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008