The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A247708

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A247708

Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape U; triangle T(n,k), n>=0, read by rows.
(history; published version)

#12 by Alois P. Heinz at Mon Feb 06 19:02:32 EST 2017

STATUS

editing

approved

#11 by Alois P. Heinz at Mon Feb 06 19:02:27 EST 2017

LINKS

Wikipedia, <a href="httphttps://en.wikipedia.org/wiki/Pentomino">Pentomino</a>

STATUS

approved

editing

#10 by Alois P. Heinz at Tue Sep 23 20:07:18 EDT 2014

STATUS

editing

approved

#9 by Alois P. Heinz at Tue Sep 23 19:53:02 EDT 2014

CROSSREFS

Column k=0 gives A247772.

STATUS

approved

editing

#8 by Alois P. Heinz at Tue Sep 23 11:36:34 EDT 2014

STATUS

editing

approved

#7 by Alois P. Heinz at Tue Sep 23 11:16:14 EDT 2014

COMMENTS

Sum_{k>0} k * T(n,k) = A247741(n).

CROSSREFS

Cf. A247741.

STATUS

approved

editing

#6 by Alois P. Heinz at Mon Sep 22 20:22:56 EDT 2014

STATUS

editing

approved

#5 by Alois P. Heinz at Mon Sep 22 20:22:44 EDT 2014

LINKS

Alois P. Heinz, <a href="/A247708/b247708.txt">Rows n = 0..175, flattened</a>

#4 by Alois P. Heinz at Mon Sep 22 19:52:22 EDT 2014

EXAMPLE

T(3,2) = 1:

._____.

| ._. |

|_| |_|

|_. ._|

| |_| |

|_____| .

#3 by Alois P. Heinz at Mon Sep 22 19:49:31 EDT 2014

EXAMPLE

Triangle T(n,k) begins:

00 : 1;

01 : 1;

02 : 5;

03 : 39, 16, 1;

04 : 369, 120, 12;

05 : 2908, 1000, 98;

06 : 19185, 7474, 1228, 60, 3;

07 : 137200, 63896, 12448, 1092, 53;

08 : 1022915, 540562, 120034, 12676, 590, 4;

09 : 7606043, 4365686, 1084022, 140512, 8836, 250, 5;

10 : 55699672, 34738058, 9663366, 1466724, 124242, 5984, 166;

KEYWORD

nonn,tabf,changed