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Search: id:A114298
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| A114298 |
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First row of Modified Schroeder numbers for q=7 (A114294). |
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+0
2
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| 1, 1, 1, 1, 2, 5, 13, 34, 110, 393, 1449, 5390, 21534, 90418, 389265, 1694769, 7593330, 34910142, 163314286, 772044618, 3702870682, 18017064221, 88689351909, 440271808570, 2205020557614, 11141413883818, 56737939027682
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OFFSET
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0,5
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COMMENT
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a(i) is the number of paths from (0,0) to (i,i) using steps of length (0,1), (1,0) and (1,1), not passing above the line y=x nor below the line y=3x/4.
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REFERENCES
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C. Hanusa (2005). A Gessel-Viennot-Type Method for Cycle Systems with Applications to Aztec Pillows. PhD Thesis. University of Washington, Seattle, USA.
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EXAMPLE
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The number of paths from (0,0) to (5,5) staying between the lines y=x and y=3x/4 using steps of length (0,1), (1,0) and (1,1) is a(5)=5.
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CROSSREFS
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See also A112833-A112844 and A114292-A114299.
Sequence in context: A062465 A064780 A029885 this_sequence A112839 A137674 A048781
Adjacent sequences: A114295 A114296 A114297 this_sequence A114299 A114300 A114301
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KEYWORD
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nonn
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AUTHOR
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Christopher Hanusa (chanusa(AT)math.binghamton.edu), Nov 21 2005
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