login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A247713 Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape Z; triangle T(n,k), n>=0, read by rows. 5
1, 1, 5, 52, 4, 451, 48, 2, 3498, 484, 24, 23502, 4136, 300, 12, 173611, 37674, 3262, 142, 1323447, 335388, 35938, 1964, 44, 9920654, 2892492, 365458, 25752, 986, 12, 73573634, 24266128, 3544842, 298200, 15002, 400, 6, 545170514, 200531918, 33123244, 3236018, 198380, 7546, 164, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Sum_{k>0} k * T(n,k) = A247746(n).

LINKS

Alois P. Heinz, Rows n = 0..170, flattened

Wikipedia, Pentomino

EXAMPLE

T(3,1) = 4:

._____.        ._____.

|___. |        |   ._|

|_. | |        |___| |

| | |_|        | .___|

| |___|        |_|   |

|_____| (*2)   |_____| (*2)  .

Triangle T(n,k) begins:

00 :        1;

01 :        1;

02 :        5;

03 :       52,        4;

04 :      451,       48,       2;

05 :     3498,      484,      24;

06 :    23502,     4136,     300,     12;

07 :   173611,    37674,    3262,    142;

08 :  1323447,   335388,   35938,   1964,    44;

09 :  9920654,  2892492,  365458,  25752,   986,  12;

10 : 73573634, 24266128, 3544842, 298200, 15002, 400, 6;

CROSSREFS

Row sums give A174249 or A233427(n,5).

Column k=0 gives A247777.

Cf. A247746.

Sequence in context: A134097 A299025 A247702 * A067282 A045539 A281202

Adjacent sequences:  A247710 A247711 A247712 * A247714 A247715 A247716

KEYWORD

nonn,tabf

AUTHOR

Alois P. Heinz, Sep 23 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 14 10:14 EDT 2021. Contains 342949 sequences. (Running on oeis4.)