Search: id:A150566
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%I A150566
%S A150566 1,2,7,26,107,455,2012,9074,41594,192924,903470,4262270,20231693,96516302,
               462374120,2222933809,
%T A150566 10719593222,51828194331,251155772898,1219515591916,5931946148833,28899291120181,
%U A150566 140988919633962,688697812814343,3367946840981885,16487263285545995,80786492334172444
%N A150566 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), 
               (0, 0, 1), (1, 0, 1), (1, 1, -1)}
%H A150566 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 A150566 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, j, -1 + k, -1 + n] + aux[i, 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 A150566 Sequence in context: A150563 A150564 A150565 this_sequence A150567 A000151 
               A150568
%Y A150566 Adjacent sequences: A150563 A150564 A150565 this_sequence A150567 A150568 
               A150569
%K A150566 nonn,walk
%O A150566 0,2
%A A150566 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008

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