The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A234660

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Number of (n+1) X (2+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).
(history; published version)

#6 by Jon E. Schoenfield at Mon Jun 20 18:24:22 EDT 2022

STATUS

editing

approved

#5 by Jon E. Schoenfield at Mon Jun 20 18:24:19 EDT 2022

NAME

Number of (n+1) X (2+1) 0..6 arrays with every 2X2 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant -stress 1X1 1 X 1 tilings).

COMMENTS

Column 2 of A234665

FORMULA

Empirical: a(n) = 24*a(n-1) -116*a(n-2) -1573*a(n-3) +17655*a(n-4) -7512*a(n-5) -599532*a(n-6) +2201681*a(n-7) +4899218*a(n-8) -40315144*a(n-9) +38576320*a(n-10) +130316460*a(n-11) -132305400*a(n-12) -263116800*a(n-13) +8496000*a(n-14) +134568000*a(n-15) +45360000*a(n-16).

EXAMPLE

Some solutions for n=3:

.. 3.. 3.. 0.... 5.. 6.. 5.... 4.. 2.. 2.... 4.. 1.. 5.... 6.. 2.. 3.... 3.. 0.. 3.... 5.. 1.. 5

.. 0.. 4.. 5.... 6.. 3.. 6.... 2.. 4.. 0.... 1.. 2.. 2.... 4.. 4.. 1.... 2.. 3.. 2.... 0.. 0.. 0

.. 4.. 4.. 1.... 4.. 5.. 4.... 5.. 3.. 3.... 5.. 2.. 6.... 1.. 5.. 6.... 5.. 2.. 5.... 1.. 5.. 1

.. 4.. 0.. 1.... 3.. 0.. 3.... 4.. 6.. 2.... 2.. 3.. 3.... 1.. 1.. 6.... 3.. 4.. 3.... 3.. 3.. 3

CROSSREFS

Column 2 of A234665.

STATUS

approved

editing

#4 by R. H. Hardin at Sun Dec 29 06:07:26 EST 2013

STATUS

editing

approved

#3 by R. H. Hardin at Sun Dec 29 06:07:23 EST 2013

LINKS

R. H. Hardin, <a href="/A234660/b234660.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Sun Dec 29 06:07:08 EST 2013

NAME

allocated for R. H. Hardin

Number of (n+1)X(2+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant stress 1X1 tilings)

DATA

1820, 9774, 52646, 286668, 1566596, 8659270, 48048220, 269752200, 1520415050, 8671291020, 49644175568, 287539714338, 1671300725440, 9823825117164, 57918470971102, 345126319941768, 2061436669618116, 12436683541246942

OFFSET

1,1

COMMENTS

Column 2 of A234665

FORMULA

EXAMPLE

Some solutions for n=3

..3..3..0....5..6..5....4..2..2....4..1..5....6..2..3....3..0..3....5..1..5

..0..4..5....6..3..6....2..4..0....1..2..2....4..4..1....2..3..2....0..0..0

..4..4..1....4..5..4....5..3..3....5..2..6....1..5..6....5..2..5....1..5..1

..4..0..1....3..0..3....4..6..2....2..3..3....1..1..6....3..4..3....3..3..3

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Dec 29 2013

STATUS

approved

editing

#1 by R. H. Hardin at Sun Dec 29 06:01:43 EST 2013

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved