Coefficients of 1/sqrt(1-12*x+16*x^2); also, a(n) is the central coefficient of (1+6x+5x^2)^n.
1, 6, 46, 396, 3606, 33876, 324556, 3151896, 30915046, 305543556, 3038019876
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Fri Feb 18 14:28:55 CET 2011 [seqfan] More results on Basket Weave tiling paths