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Search: id:A151393
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| A151393 |
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Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of 2 n steps taken from {(-1, -1), (-1, 1), (1, 0), (1, 1)} |
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+0
1
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| 1, 3, 23, 229, 2564, 30874, 390124, 5100052, 68384716, 935121688, 12988742454, 182726814050, 2597994569974, 37269939754622, 538769767630088, 7840164781172800, 114752711724862584, 1688183258963366500, 24948722231136735010, 370204576610120406342, 5513458878514541095188
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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M. Bouquet-Melou and M. Mishna, 2008. Walks with small steps in the quarter plane, ArXiv 0810.4387.
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MATHEMATICA
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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[1 + i, 1 + j, -1 + n]]; Table[Sum[aux[0, k, 2 n], {k, 0, 2 n}], {n, 0, 25}]
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CROSSREFS
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Sequence in context: A093162 A068954 A068955 this_sequence A007781 A068146 A162591
Adjacent sequences: A151390 A151391 A151392 this_sequence A151394 A151395 A151396
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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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