%I A149177
%S A149177 1,1,4,10,35,124,430,1647,6183,23789,93982,369633,1481709,5983590,24232012,
               99222087,407426130,
%T A149177 1680897964,6975369570,29010771057,121164653294,507700418550,2132120381475,
               8982067396981,
%U A149177 37920761022042,160429930215705,680251829388493,2889238380694213,12293506617026379
%N A149177 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, 0), 
               (-1, 1, -1), (0, 1, -1), (1, 0, 1)}
%H A149177 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 A149177 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[i, -1 
               + j, 1 + k, -1 + n] + aux[1 + i, -1 + j, 1 + k, -1 + n] + aux[1 + 
               i, j, 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 A149177 Sequence in context: A149175 A149176 A059710 this_sequence A149178 A152916 
               A108596
%Y A149177 Adjacent sequences: A149174 A149175 A149176 this_sequence A149178 A149179 
               A149180
%K A149177 nonn,walk
%O A149177 0,3
%A A149177 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008