Search: id:A148012
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%I A148012
%S A148012 1,1,2,3,8,15,44,101,348,859,2926,7765,28092,77797,288226,835551,3149704,
               9376877,36183832,
%T A148012 110801091,431609988,1350519440,5338560871,17003928647,67861860571,219953201097,
               885178666480,
%U A148012 2907032661937,11800981627623,39264792923311,160349091607954,539475559104643,
               2217553429366461
%N A148012 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), 
               (-1, 1, -1), (1, -1, -1), (1, 0, 0)}
%H A148012 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 A148012 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[-1 + i, 1 
               + j, 1 + k, -1 + n] + aux[1 + i, -1 + 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 A148012 Sequence in context: A148009 A148010 A148011 this_sequence A161178 A006882 
               A080498
%Y A148012 Adjacent sequences: A148009 A148010 A148011 this_sequence A148013 A148014 
               A148015
%K A148012 nonn,walk
%O A148012 0,3
%A A148012 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008

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