%I A151084
%S A151084 1,3,10,43,180,794,3594,16281,75560,350968,1647376,7777248,36838962,175537404,
               838148510,
%T A151084 4017672655,19303611390,92963938546,448723447926,2169464498226,10508432340334,
               50971062222142,
%U A151084 247592929032540,1204164747873648,5863164753277432,28578855346427910,139434574130451938
%N A151084 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, -1, 0), 
               (0, 1, 1), (1, 0, 1), (1, 1, 0)}
%H A151084 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 A151084 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[-1 + 
               i, j, -1 + k, -1 + n] + aux[i, -1 + j, -1 + k, -1 + n] + aux[1 + 
               i, 1 + j, 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 A151084 Sequence in context: A007680 A143523 A042545 this_sequence A151085 A082936 
               A030935
%Y A151084 Adjacent sequences: A151081 A151082 A151083 this_sequence A151085 A151086 
               A151087
%K A151084 nonn,walk
%O A151084 0,2
%A A151084 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008