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A264812 Number of tilings of a 5 X n rectangle using n pentominoes of shapes P, I, X. 6
1, 1, 3, 5, 13, 52, 123, 366, 909, 2444, 7108, 19157, 53957, 146826, 400704, 1115852, 3059907, 8475420, 23369304, 64225984, 177572352, 488839323, 1349102071, 3722419367, 10255126169, 28303059509, 78013005366, 215160477217, 593488173404, 1636220978049 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Wikipedia, Pentomino

EXAMPLE

a(4) = 13:

._______.      ._______.      ._______.      ._______.

| | | | |      |   |   |      |   | | |      |   ._| |

| | | | |      | ._| ._|      | ._| | |      |___|   |

| | | | |      |_| |_| |      |_| | | |      |   |___|

| | | | | (1)  |   |   | (4)  |   | | | (6)  | ._|   | (2)

|_|_|_|_|      |___|___|      |_ _|_|_|      |_|_____|    .

a(5) = 52:

._________.

|   |_.   |

| ._| |___|

|_|_   _| |

|   |_|   | (2)  ...

|_____|___|          .

CROSSREFS

Cf. A174249, A233427, A234312, A234931, A247124, A247268, A247443, A249762, A264765, A278330.

Sequence in context: A209002 A106879 A249762 * A276827 A034375 A081953

Adjacent sequences:  A264809 A264810 A264811 * A264813 A264814 A264815

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 25 2015

STATUS

approved

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Last modified November 27 07:28 EST 2021. Contains 349365 sequences. (Running on oeis4.)