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Search: id:A148098
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| A148098 |
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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, 0, 1), (0, 0, 1), (0, 1, -1), (1, -1, 0)} |
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+0
1
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| 1, 1, 2, 4, 10, 26, 72, 226, 684, 2201, 7370, 24777, 85667, 300962, 1080541, 3892497, 14248086, 53141562, 197833744, 746885311, 2853338098, 10921983580, 42150766750, 164034497858, 641789674983, 2518722296593, 9956335914662, 39595246582945, 157622034823680, 631255495574749, 2541632161450543
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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A. Bostan and M. Kauers, 2008. Automatic Classification of Restricted Lattice Walks, ArXiv 0811.2899.
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MATHEMATICA
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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[i, -1 + j, 1 + k, -1 + n] + aux[i, j, -1 + k, -1 + n] + aux[1 + i, j, -1 + 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}]
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CROSSREFS
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Sequence in context: A049145 A102407 A148097 this_sequence A049130 A101488 A089429
Adjacent sequences: A148095 A148096 A148097 this_sequence A148099 A148100 A148101
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KEYWORD
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nonn,walk
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AUTHOR
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Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008
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