Search: id:A149875
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%I A149875
%S A149875 1,2,5,13,45,150,548,1895,7595,28565,115446,438694,1862878,7407410,31401854,
               125165643,
%T A149875 548208863,2251065516,9811745632,40261665482,179765822208,753826837023,
               3345833966405,
%U A149875 14001164979883,63337842696640,269572598312974,1211822937294886,5143408328423039
%N A149875 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), (-1, -1, 1), 
               (-1, 1, -1), (1, 0, 0), (1, 0, 1)}
%H A149875 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 A149875 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[-1 + 
               i, j, k, -1 + n] + aux[1 + i, -1 + j, 1 + k, -1 + n] + aux[1 + i, 
               1 + 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 A149875 Sequence in context: A119533 A066740 A000719 this_sequence A085632 A111563 
               A079573
%Y A149875 Adjacent sequences: A149872 A149873 A149874 this_sequence A149876 A149877 
               A149878
%K A149875 nonn,walk
%O A149875 0,2
%A A149875 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008

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