Search: id:A148287
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%I A148287
%S A148287 1,1,2,5,12,35,107,329,1096,3749,12891,46265,169259,620390,2337429,8934790,
               34152776,133143500,
%T A148287 524875592,2067248994,8264941659,33337264862,134285940718,547393149232,
               2247487271913,
%U A148287 9213311703539,38138609281747,158824698192248,660317459502835,2767794642935800
%N A148287 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, 1), 
               (0, 0, -1), (0, 1, -1), (1, 0, 0)}
%H A148287 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 A148287 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, k, -1 + n] + aux[i, -1 + j, 
               1 + k, -1 + n] + aux[i, j, 1 + k, -1 + n] + aux[1 + 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 A148287 Sequence in context: A075203 A075205 A054359 this_sequence A036357 A000104 
               A000105
%Y A148287 Adjacent sequences: A148284 A148285 A148286 this_sequence A148288 A148289 
               A148290
%K A148287 nonn,walk
%O A148287 0,3
%A A148287 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008

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