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n*a(n) = 2*(2*n-1)*a(n-1) + 4*(n-1)*a(n-2) with a(0) = 1.
(Formerly M1849)
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1, 2, 8, 32, 136, 592, 2624, 11776, 53344, 243392, 1116928, 5149696, 23835904, 110690816, 515483648, 2406449152, 11258054144, 52767312896, 247736643584, 1164829376512, 5484233814016, 25852072517632, 121997903495168
Triangle of Schroeder paths counted by number of diagonal steps not preceded by an east step.
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1, 1, 1, 3, 2, 1, 9, 9, 3, 1, 31, 36, 18, 4, 1, 113, 155, 90, 30, 5, 1, 431, 678, 465, 180, 45, 6, 1, 1697, 3017, 2373, 1085, 315, 63, 7, 1, 6847, 13576, 12068, 6328, 2170, 504, 84, 8, 1, 28161, 61623, 61092, 36204, 14238, 3906, 756, 108, 9, 1, 117631, 281610, 308115, 203640, 90510, 28476, 6510, 1080, 135, 10, 1
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