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Search: id:A114299
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| A114299 |
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First row of Modified Schroeder numbers for q=9 (A114295). |
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+0
8
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| 1, 1, 1, 1, 1, 2, 5, 13, 34, 89, 288, 1029, 3794, 14113, 52624, 210428, 883881, 3805858, 16570925, 72497060, 325602364, 1498899060, 7017126473, 33185818242, 157858754637, 759960988368, 3706528583080, 18273586377144, 90805138443560
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OFFSET
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0,6
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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=4x/5.
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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 (6,6) staying between the lines y=x and y=4x/5 using steps of length (0,1), (1,0) and (1,1) is a(6)=5.
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CROSSREFS
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See also A112833-A112844 and A114292-A114298.
Sequence in context: A001519 A048575 A099496 this_sequence A112842 A097417 A006801
Adjacent sequences: A114296 A114297 A114298 this_sequence A114300 A114301 A114302
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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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