%I A148995
%S A148995 1,1,3,9,33,117,453,1775,7112,28983,120132,504174,2146646,9208343,39778905,
               173078627,757217899,
%T A148995 3328960216,14708426707,65283892983,291015312216,1302008131740,5842963924992,
               26296807422445,
%U A148995 118666236830752,536772492146077,2433653602795155,11058875016376168,50361354298500484
%N A148995 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, 0), 
               (0, 1, 1), (1, -1, 0), (1, 1, -1)}
%H A148995 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 A148995 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, 1 + j, k, -1 + n] + aux[i, -1 + j, -1 + k, -1 + n] + aux[1 + 
               i, j, 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 A148995 Sequence in context: A148992 A148993 A148994 this_sequence A148996 A148997 
               A082841
%Y A148995 Adjacent sequences: A148992 A148993 A148994 this_sequence A148996 A148997 
               A148998
%K A148995 nonn,walk
%O A148995 0,3
%A A148995 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008