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Revision History for A001631

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Showing entries 1-10 | older changes
Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with initial conditions a(0..3) = (0, 0, 1, 0).
(history; published version)
#117 by Michael De Vlieger at Mon Jun 10 08:50:14 EDT 2024
STATUS

reviewed

approved

#116 by Michel Marcus at Mon Jun 10 04:04:49 EDT 2024
STATUS

proposed

reviewed

#115 by Greg Dresden at Fri Jun 07 15:16:59 EDT 2024
STATUS

editing

proposed

Discussion
Fri Jun 07
15:17
Greg Dresden: Oops, small mistake in my description. Fixed it.
#114 by Greg Dresden at Fri Jun 07 15:15:36 EDT 2024
COMMENTS

a(n) is the number of ways to tile a skew double-strip of n-2 cells using squares and all possible "dominos", as seen in the comments in A000078, but with the added provision that the first tile (in the lower left corner) must be a domino. For reference, here is the skew double-strip corresponding to a(10), n=14, with 12 cells:

#113 by Greg Dresden at Fri Jun 07 15:14:59 EDT 2024
COMMENTS

a(n) is the number of ways to tile a skew double-strip of n+-2 cells using squares and all possible "dominos", as seen in the comments in A000078, but with the added provision that the first tile (in the lower left corner) must be a domino. For reference, here is the skew double-strip corresponding to a(1410), with n=12 cells:

#112 by Greg Dresden at Fri Jun 07 15:14:01 EDT 2024
COMMENTS

a(n+3) is the number of ways to tile a skew double-strip of n +2 cells using squares and all possible "dominos", as seen in the comments in A000078, but with the added provision that the first tile (in the lower left corner) must be a domino. For reference, here is the skew double-strip corresponding to a(1514), with n=12 cells:

#111 by Greg Dresden at Fri Jun 07 15:13:03 EDT 2024
COMMENTS

a(n+3) is the number of ways to tile a skew double-strip of n-2 cells using squares and all possible "dominos", as seen in the comments in A000078, but with the added provision that if the first tile (in the lower left corner) is must be a domino then it can be one of two colors. For reference, here is the skew double-strip corresponding to n=14, a(15), with n=12 cells:

STATUS

approved

editing

#110 by N. J. A. Sloane at Fri Jun 07 14:30:33 EDT 2024
STATUS

proposed

approved

#109 by Greg Dresden at Wed Jun 05 17:28:37 EDT 2024
STATUS

editing

proposed

#108 by Greg Dresden at Wed Jun 05 17:28:34 EDT 2024
COMMENTS

|___|, |___|, |_______|. - Greg Dresden, and Ruotong Li, Jun 05 2024

STATUS

proposed

editing