A226303 a(n) = sum of absolute values of coefficients of a certain polynomial P_n(x) arising in the enumeration of tatami mat coverings.

1, 3, 4, 10, 10, 22, 28, 64, 76, 180, 260, 606, 932, 2124, 3440, 7666, 12872, 28178, 48620, 104946, 184756, 394638, 705432, 1494600, 2704156, 5693376, 10400600

Offset: 2

Author

N. J. A. Sloane, Jun 06 2013

Keywords

• nonn
• more

Comments

See Erickson-Ruskey for precise definition. The polynomials P_n(x) are described as "mysterious".

Links

• Alejandro Erickson, Frank Ruskey, Enumerating maximal tatami mat coverings of square grids with v vertical dominoes, arXiv:1304.0070 [math.CO], 2013.

Crossrefs

Cf. A226302, A226304.