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 A307584 Triangle read by rows: T(n,k) is the number of non-backtracking walks on Z^2 of length n that are active for k steps, where the walk is initially active and turns in the walk toggle the activity. 1
 1, 2, 1, 2, 6, 1, 2, 14, 10, 1, 2, 22, 42, 14, 1, 2, 30, 106, 86, 18, 1, 2, 38, 202, 318, 146, 22, 1, 2, 46, 330, 838, 722, 222, 26, 1, 2, 54, 490, 1774, 2514, 1382, 314, 30, 1, 2, 62, 682, 3254, 6802, 6062, 2362, 422, 34, 1, 2, 70, 906, 5406, 15378, 20406, 12570, 20406, 12570, 3726, 546, 38, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..68. M. Fahrbach and D. Randall, Slow mixing of Glauber dynamics for the six-vertex model in the ferroelectric and antiferroelectric phases, arXiv:1904.01495 [cs.DS], 2019 R. J. Mathar, Walks of up and right steps in the square lattice with blocked squares (2022) Table 2. EXAMPLE Triangle begins: 1; 2, 1; 2, 6, 1; 2, 14, 10, 1; 2, 22, 42, 14, 1; 2, 30, 106, 86, 18, 1; 2, 38, 202, 318, 146, 22, 1; 2, 46, 330, 838, 722, 222, 26, 1; 2, 54, 490, 1774, 2514, 1382, 314, 30, 1; 2, 62, 682, 3254, 6802, 6062, 2362, 422, 34, 1; 2, 70, 906, 5406, 15378, 20406, 12570, 3726, 546, 38, 1; ... CROSSREFS Row sums give A000244. Cf. A051708 (subdiagonal T(2n,n)). Sequence in context: A208763 A355721 A249027 * A266183 A232483 A338870 Adjacent sequences: A307581 A307582 A307583 * A307585 A307586 A307587 KEYWORD nonn,tabl AUTHOR Matthew Fahrbach, Apr 15 2019 STATUS approved

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Last modified September 9 19:59 EDT 2024. Contains 375765 sequences. (Running on oeis4.)