%I A150937
%S A150937 1,2,9,34,149,655,2973,13542,63195,295239,1391221,6607775,31486131,150555115,
               723726889,
%T A150937 3484954560,16822569925,81467300557,395050078051,1918852327159,9340849113167,
               45516027448659,
%U A150937 222061163876035,1085070839303991,5306236098700501,25972730345997923,127277059787467059
%N A150937 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), (0, 0, -1), 
               (0, 1, -1), (1, 0, 1), (1, 1, 1)}
%H A150937 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 A150937 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, -1 + k, -1 + n] + aux[i, -1 + j, 1 + k, -1 + n] + aux[i, 
               j, 1 + 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 A150937 Sequence in context: A010763 A077234 A091526 this_sequence A150938 A151307 
               A150939
%Y A150937 Adjacent sequences: A150934 A150935 A150936 this_sequence A150938 A150939 
               A150940
%K A150937 nonn,walk
%O A150937 0,2
%A A150937 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008