%I A148159
%S A148159 1,1,2,4,11,30,101,325,1173,4129,15600,57991,227819,882158,3556595,14196649,
               58341251,237985861,
%T A148159 994094162,4126639959,17456975753,73516604930,314208829825,1338355571447,
               5771924502800,
%U A148159 24822352236154,107856520063495,467688123042216,2045200218407310,8929933841268928
%N A148159 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, 0), (1, 1, -1)}
%H A148159 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 A148159 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, 1 + k, -1 + n] + aux[-1 
               + i, j, 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 A148159 Sequence in context: A141268 A135527 A148158 this_sequence A102814 A034770 
               A002387
%Y A148159 Adjacent sequences: A148156 A148157 A148158 this_sequence A148160 A148161 
               A148162
%K A148159 nonn,walk
%O A148159 0,3
%A A148159 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008