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

2,2

Comments

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

Links

Table of n, a(n) for n=2..28.

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.

Sequence in context: A279787 A128488 A359366 * A117781 A075100 A288660

Adjacent sequences: A226300 A226301 A226302 * A226304 A226305 A226306

Keyword

nonn,more

Author

N. J. A. Sloane, Jun 06 2013

Status

approved