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 A114298 First row of Modified Schroeder numbers for q=7 (A114294). 1
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS 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. REFERENCES C. Hanusa (2005). A Gessel-Viennot-Type Method for Cycle Systems with Applications to Aztec Pillows. PhD Thesis. University of Washington, Seattle, USA. LINKS EXAMPLE 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. CROSSREFS See also A112833-A112844 and A114292-A114299. Sequence in context: A148289 A148290 A029885 * A112839 A331755 A137674 Adjacent sequences:  A114295 A114296 A114297 * A114299 A114300 A114301 KEYWORD nonn AUTHOR Christopher Hanusa (chanusa(AT)math.binghamton.edu), Nov 21 2005 STATUS approved

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Last modified August 4 13:04 EDT 2021. Contains 346447 sequences. (Running on oeis4.)