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Search: id:A148522
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| A148522 |
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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, 1, -1), (1, -1, 0), (1, 1, 0)} |
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+0
1
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| 1, 1, 3, 5, 17, 40, 139, 365, 1321, 3796, 13865, 41676, 155184, 487528, 1823899, 5870889, 22212061, 73415388, 278531017, 934712928, 3572512184, 12202646184, 46722602013, 161264038912, 620704085796, 2169656200496, 8361338551912, 29449934951492, 113937676300992, 405143448826160, 1568854152864327
(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[-1 + i, 1 + j, k, -1 + n] + aux[1 + i, -1 + 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: A148519 A148520 A148521 this_sequence A141160 A113275 A001572
Adjacent sequences: A148519 A148520 A148521 this_sequence A148523 A148524 A148525
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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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