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A151332
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Number of walks within N^2 (the first quadrant of Z^2) starting and ending at (0,0) and consisting of 4 n steps taken from {(-1, -1), (-1, 1), (1, 0)}
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0
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1, 2, 28, 660, 20020, 705432, 27457584, 1147334760, 50561468100, 2322279359400, 110250966574320, 5377893986141040, 268315541493159888, 13645106597301720800, 705378072079232798400, 36985702814877062972880, 1963555139681260758978660, 105393959626252993455319560
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| M. Bousquet-Melou and M. Mishna, 2008. Walks with small steps in the quarter plane, ArXiv 0810.4387.
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MATHEMATICA
| 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, j, -1 + n] + aux[1 + i, -1 + j, -1 + n] + aux[1 + i, 1 + j, -1 + n]]; Table[aux[0, 0, 4 n], {n, 0, 25}]
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CROSSREFS
| Sequence in context: A011944 A012745 A143585 * A098631 A089836 A090249
Adjacent sequences: A151329 A151330 A151331 * A151333 A151334 A151335
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KEYWORD
| nonn,walk
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AUTHOR
| Manuel Kauers (manuel(AT)kauers.de), Nov 18 2008
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