%I A148011
%S A148011 1,1,2,3,8,15,44,101,338,849,2736,7555,25254,73321,243290,762927,2557674,
               8162769,27492592,
%T A148011 92263125,312597658,1055555063,3634419897,12618793174,43555825107,151808509939,
               534943761678,
%U A148011 1891289995128,6664938234011,23709504232076,85097685030264,304700197997170,
               1093145659514525
%N A148011 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, 0), (-1, 1, -1), 
               (0, 0, 1), (0, 1, -1), (1, -1, -1)}
%H A148011 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 A148011 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[i, 
               -1 + j, 1 + k, -1 + n] + aux[i, j, -1 + k, -1 + n] + aux[1 + i, -1 
               + j, 1 + k, -1 + n] + aux[1 + i, 1 + j, k, -1 + n]]; Table[Sum[aux[i, 
               j, k, n], {i, 0, n}, {j, 0, n}, {k, 0, n}], {n, 0, 10}]
%Y A148011 Sequence in context: A148008 A148009 A148010 this_sequence A148012 A161178 
               A006882
%Y A148011 Adjacent sequences: A148008 A148009 A148010 this_sequence A148012 A148013 
               A148014
%K A148011 nonn,walk
%O A148011 0,3
%A A148011 Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008