Search: id:A151324
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%I A151324
%S A151324 1,3,14,68,351,1863,10097,55554,309103,1735153,9809244,55775457,318669544,
               1828103920,
%T A151324 10523723262,60763155726,351760568907,2041044528590,11867027645777,69122488251435,
%U A151324 403276604574906,2356259190114886,13785394936424951,80749380782254502,
               473518966715273252
%N A151324 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, 0), (0, 1), 
               (1, -1), (1, 0), (1, 1)}
%H A151324 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 A151324 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 A151324 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[-1 + i, 
               1 + j, -1 + n] + aux[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 A151324 Sequence in context: A002320 A151323 A113140 this_sequence A121185 A151325 
               A020065
%Y A151324 Adjacent sequences: A151321 A151322 A151323 this_sequence A151325 A151326 
               A151327
%K A151324 nonn,walk
%O A151324 0,2
%A A151324 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008

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