%I A149301
%S A149301 1,1,4,11,46,168,731,2979,13401,57661,265461,1181726,5522830,25155711,
               118893172,550284353,
%T A149301 2622755672,12286768851,58931031929,278651004826,1343265798651,6397648075135,
               30966476881123,
%U A149301 148352084091735,720436718946511,3467981145821313,16888078807378942,81615427515075795
%N A149301 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, 1, 0), 
               (1, -1, 1), (1, 0, -1), (1, 1, 0)}
%H A149301 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 A149301 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, k, -1 + n] + aux[-1 + 
               i, j, 1 + k, -1 + n] + aux[-1 + i, 1 + j, -1 + k, -1 + n] + aux[1 
               + i, -1 + 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 A149301 Sequence in context: A149298 A149299 A149300 this_sequence A149302 A149303 
               A053882
%Y A149301 Adjacent sequences: A149298 A149299 A149300 this_sequence A149302 A149303 
               A149304
%K A149301 nonn,walk
%O A149301 0,3
%A A149301 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008