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!)
A249762 Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, I, L. 9
1, 1, 3, 5, 13, 50, 133, 360, 875, 2254, 6336, 17331, 47199, 124476, 330344, 889454, 2400961, 6485476, 17392906, 46616158, 125153478, 336529923, 905611165, 2434088873, 6539233985, 17567977887, 47214493386, 126927551197, 341177175540, 916960655233 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Vaclav Kotesovec, G.f. and the recurrence (of order 315)

Wikipedia, Pentomino

FORMULA

a(n) ~ c * d^n, where d = 2.6877447474867836174937272605197376719631593933016281800670782370745298422..., c = 0.3236150736074998563483897952085529328299218049725560430481595704054051228... (1/d is the root of the denominator, see g.f.). - Vaclav Kotesovec, May 19 2015

EXAMPLE

a(4) = 13:

._______.     ._______.     ._______.

| | | | |     | ._| ._|     | | ._| |

| | | | |     | |_. | |     | | | | |

| | | | |     | | |_| |     | | | | |

| | | | |     |_| ._| |     | |_| | |

|_|_|_|_| (1) |___|___| (2) |_|___|_| (2)

._______.     ._______.     ._______.

| ._| | |     | ._| ._|     | ._|_. |

| | | | |     | | | | |     | | | | |

| | | | |     | | | | |     | | | | |

|_| | | |     |_| |_| |     |_| | |_|

|___|_|_| (4) |___|___| (2) |___|___| (2) .

CROSSREFS

Cf. A174249, A233427, A247443, A247680, A251617, A251737, A257866, A264765.

Sequence in context: A113606 A209002 A106879 * A264812 A276827 A034375

Adjacent sequences:  A249759 A249760 A249761 * A249763 A249764 A249765

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 03 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 October 18 13:12 EDT 2021. Contains 348067 sequences. (Running on oeis4.)