Search: id:A151132
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%I A151132
%S A151132 1,3,11,45,198,887,4047,18768,87949,415183,1972722,9422395,45189129,217479786,
               1049796775,
%T A151132 5080295503,24638793232,119724644589,582747344130,2840693292165,13865869687615,
               67762568930632,
%U A151132 331513625649517,1623447018209726,7957240718117833,39033855586296611,191622276472893138
%N A151132 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), (0, 0, -1), 
               (0, 1, 0), (0, 1, 1), (1, 0, 1)}
%H A151132 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 A151132 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[i, -1 + j, k, -1 + n] + aux[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 A151132 Sequence in context: A080243 A001003 A151131 this_sequence A151133 A083886 
               A030866
%Y A151132 Adjacent sequences: A151129 A151130 A151131 this_sequence A151133 A151134 
               A151135
%K A151132 nonn,walk
%O A151132 0,2
%A A151132 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008

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