A059573 Polyotessamino numbers T(n,k) (1<=k<=n): take all the polyominoes with n cells (including those with holes but excluding rotations and reflections); fill them as completely as possible with rectangular 1 X k tiles; T(n,k) is number of ways of doing this.

1, 1, 1, 2, 4, 1, 5, 8, 4, 1, 12, 34, 18, 4, 1, 35, 85, 61, 22, 5, 1

Offset

1,4

Comments

Warning: This appears to be an erroneous version of A308437. - R. J. Mathar, May 27 2019

Links

Table of n, a(n) for n=1..21.

Fabian Rothelius, The polyotessamino numbers [broken link?]

Formula

T(n,1) = A000105(n).

Example

1;
1,1;
2,4,1;
5,8,4,1;
12,34,18,4,1;
35,85,61,22,5,1; ...

Crossrefs

Cf. A000105.

Sequence in context: A175036 A177985 A198512 * A308437 A201283 A283739

Adjacent sequences: A059570 A059571 A059572 * A059574 A059575 A059576

Keyword

nonn,tabl

Author

Fabian Rothelius, Jan 22 2001

Status

approved