The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A059684 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A059684

Triangle T(n,k) giving number of 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3).
(history; published version)

#22 by R. J. Mathar at Sun May 12 10:17:07 EDT 2019

STATUS

editing

approved

#21 by R. J. Mathar at Sun May 12 10:17:03 EDT 2019

EXTENSIONS

Changed 518 to 519 (correcting Read...) and added values for n>=11 cells. R. J. Mathar, May 12 2019

STATUS

reviewed

editing

#20 by Joerg Arndt at Sun May 12 08:56:58 EDT 2019

STATUS

proposed

reviewed

#19 by R. J. Mathar at Sun May 12 08:55:03 EDT 2019

STATUS

editing

proposed

#18 by R. J. Mathar at Sun May 12 08:48:28 EDT 2019

KEYWORD

nonn,easy,nice,tabl,more,changed

#17 by R. J. Mathar at Sun May 12 08:47:25 EDT 2019

EXAMPLE

0,3;

EXTENSIONS

Values Changed 518 to 519 and added values for n>=11 cells from _. _R. J. Mathar_, May 12 2019

#16 by R. J. Mathar at Sun May 12 08:45:30 EDT 2019

DATA

1, 0, 3, 0, 6, 15, 0, 2, 39, 30, 0, 1, 59, 148, 61, 0, 0, 42, 349, 383, 97, 0, 0, 21, 518, 519, 1304, 822, 155, 0, 0, 4, 488, 2847, 3548, 1551, 220, 0, 0, 1, 321, 4441, 10323, 8239, 2680, 313, 0, 0, 0, 122, 5008, 21995, 29442, 16821, 4327, 415, 0, 0, 0, 35, 4168, 36035, 79155, 71742, 31576

COMMENTS

Note that for k=4 (polyominoes with square bounding rectangle) these are not the free polyominoes, because Read does not apply the full symmetry group of order 8 to reduce the fixed polyominoes for d_q(n), but only the symmetry group of order 4 (excluding the 90 deg rotations). The free polyominoes with square bounding rectangles are his z_4(n) instead. - R. J. Mathar, May 12 2019

EXAMPLE

0,3;

0,2,39, 30;

...

0,1,59,148, 61;

0,0,42,349, 383, 97;

0,0,21,519,1304, 822, 155;

0,0, 4,488,2847, 3548, 1551, 220;

0,0, 1,321,4441,10323, 8239, 2680, 313;

0,0, 0,122,5008,21995,29442,16821, 4327,415;

0,0, 0, 35,4168,36035,79155,71742,31576,...

EXTENSIONS

Values for n>=11 cells from R. J. Mathar, May 12 2019

STATUS

approved

editing

#15 by R. J. Mathar at Wed May 08 10:12:13 EDT 2019

STATUS

editing

approved

#14 by R. J. Mathar at Wed May 08 07:42:30 EDT 2019

CROSSREFS

Cf. A059680 (flipped or rotated considered distinct).

STATUS

approved

editing

#13 by R. J. Mathar at Wed May 08 07:38:13 EDT 2019

STATUS

editing

approved