%I A148301
%S A148301 1,1,2,5,13,37,114,365,1212,4174,14744,53219,196128,735061,2795325,10775893,
               42033257,165681405,
%T A148301 659428514,2647465405,10712775912,43665811166,179171486078,739683634853,
               3071114467121,
%U A148301 12818263719383,53762514030655,226524701738624,958521863533685,4072099385740137
%N A148301 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, 0, 0), (-1, 0, 1), 
               (0, 1, -1), (0, 1, 0), (1, -1, 0)}
%H A148301 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 A148301 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[i, -1 + j, 1 + k, -1 + n] + aux[1 + i, j, -1 
               + k, -1 + n] + aux[1 + i, j, k, -1 + n]]; Table[Sum[aux[i, j, k, 
               n], {i, 0, n}, {j, 0, n}, {k, 0, n}], {n, 0, 10}]
%Y A148301 Sequence in context: A151442 A053732 A119495 this_sequence A149855 A149856 
               A064384
%Y A148301 Adjacent sequences: A148298 A148299 A148300 this_sequence A148302 A148303 
               A148304
%K A148301 nonn,walk
%O A148301 0,3
%A A148301 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008