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Revision History for A033505 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Expansion of 1/(1 - 3*x - x^2 + x^3).
(history; published version)
#45 by Michael De Vlieger at Sun Jun 26 10:47:46 EDT 2022
STATUS

reviewed

approved

#44 by Joerg Arndt at Sun Jun 26 10:43:19 EDT 2022
STATUS

proposed

reviewed

#43 by Jon E. Schoenfield at Sun Jun 26 04:36:12 EDT 2022
STATUS

editing

proposed

Discussion
Sun Jun 26
06:48
Greg Dresden: Thanks!
#42 by Jon E. Schoenfield at Sun Jun 26 04:36:07 EDT 2022
COMMENTS

a(n) is the number of ways to tile, with squares and dominos, dominoes, a 2 X n board with one extra space at the end. Here is the board for n=3:

PROG

(MAGMAMagma) I:=[1, 3, 10]; [n le 3 select I[n] else 3*Self(n-1)+Self(n-2)-Self(n-3): n in [1..30]]; // Vincenzo Librandi, Aug 17 2018

STATUS

proposed

editing

#41 by Michel Marcus at Sun Jun 26 01:44:06 EDT 2022
STATUS

editing

proposed

#40 by Michel Marcus at Sun Jun 26 01:43:54 EDT 2022
COMMENTS

. ______

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. ______

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STATUS

proposed

editing

Discussion
Sun Jun 26
01:44
Michel Marcus: ok like this ?
#39 by Greg Dresden at Sat Jun 25 23:30:02 EDT 2022
STATUS

editing

proposed

#38 by Greg Dresden at Sat Jun 25 23:29:04 EDT 2022
COMMENTS

a(n) is the number of ways to tile, with squares and dominos, a 2 X n board with one extra space at the end. Here is the board for n=3,:

#37 by Greg Dresden at Sat Jun 25 23:28:32 EDT 2022
COMMENTS

From Greg Dresden, Jun 25 2022: (Start)

From _Greg Dresden_, Jun 25 2022 : (Start) a(n) is the number of ways to tile, with squares and dominos, a 2 X n board with one extra space at the end. Here is the board for n=3:,

Here and here is one of the a(3)=32 possible tilings of this board:

#36 by Greg Dresden at Sat Jun 25 23:27:56 EDT 2022
COMMENTS

From Greg Dresden, Jun 25 2022 : (Start) a(n) is the number of ways to tile, with squares and dominos, a 2 X n board with one extra space at the end. Here is the board for n=3:

. ______

|_|_|_|_

|_|_|_|_|

Here is one of the a(3)=32 possible tilings of this board:

. ______

| |_|_|_

|_|_|___|

(End)

STATUS

approved

editing