%I A151322
%S A151322 1,3,14,65,330,1683,8874,47088,253802,1375939,7524651,41346061,228447273,
               1267005772,7054307476,
%T A151322 39394861448,220641191059,1238773724011,6970910527593,39305772011050,222039381179593,
%U A151322 1256404002028860,7120347445063067,40409910873522737,229639109317630051,
               1306567259328079561
%N A151322 Number of walks within N^2 (the first quadrant of Z^2) starting at (0,
               0) and consisting of n steps taken from {(-1, -1), (-1, 1), (-1, 
               0), (0, 1), (1, 0), (1, 1)}
%H A151322 M. Bouquet-Melou and M. Mishna, 2008. Walks with small steps in the quarter 
               plane, <a href="http://arxiv.org/abs/0810.4387">ArXiv 0810.4387</
               a>.
%H A151322 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 A151322 aux[i_Integer, j_Integer, n_Integer] := Which[Min[i, j, n] < 0 || Max[i, 
               j] > n, 0, n == 0, KroneckerDelta[i, j, n], True, aux[i, j, n] = 
               aux[-1 + i, -1 + j, -1 + n] + aux[-1 + i, j, -1 + n] + aux[i, -1 
               + j, -1 + n] + aux[1 + i, -1 + j, -1 + n] + aux[1 + i, j, -1 + n] 
               + aux[1 + i, 1 + j, -1 + n]]; Table[Sum[aux[i, j, n], {i, 0, n}, 
               {j, 0, n}], {n, 0, 25}]
%Y A151322 Sequence in context: A161131 A026592 A034275 this_sequence A002320 A151323 
               A113140
%Y A151322 Adjacent sequences: A151319 A151320 A151321 this_sequence A151323 A151324 
               A151325
%K A151322 nonn,walk
%O A151322 0,2
%A A151322 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008