The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A250952

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Number of (n+1) X (4+1) 0..1 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.
(history; published version)

#8 by Susanna Cuyler at Sat Nov 24 08:11:32 EST 2018

STATUS

reviewed

approved

#7 by Michel Marcus at Sat Nov 24 02:49:36 EST 2018

STATUS

proposed

reviewed

#6 by Colin Barker at Sat Nov 24 02:47:57 EST 2018

STATUS

editing

proposed

#5 by Colin Barker at Sat Nov 24 02:47:01 EST 2018

NAME

Number of (n+1) X (4+1) 0..1 arrays with no 2X2 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

COMMENTS

Column 4 of A250956

FORMULA

Empirical: a(n) = 27*a(n-1) - 57*a(n-2) - 46*a(n-3) + 30*a(n-4).

Empirical g.f.: 4*x*(195 - 463*x - 361*x^2 + 240*x^3) / (1 - 27*x + 57*x^2 + 46*x^3 - 30*x^4). - Colin Barker, Nov 24 2018

EXAMPLE

Some solutions for n=2:

CROSSREFS

Column 4 of A250956.

STATUS

approved

editing

#4 by R. H. Hardin at Fri Nov 28 21:00:46 EST 2014

STATUS

editing

approved

#3 by R. H. Hardin at Fri Nov 28 21:00:43 EST 2014

LINKS

R. H. Hardin, <a href="/A250952/b250952.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Fri Nov 28 21:00:28 EST 2014

NAME

allocated for R. H. Hardin

Number of (n+1)X(4+1) 0..1 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element

DATA

780, 19208, 472712, 11633448, 286298344, 7045780240, 173396103624, 4267264603784, 105017049454880, 2584461405506568, 63603393841083832, 1565274567258578128, 38521285153870175304, 948005826546231120680

OFFSET

1,1

COMMENTS

Column 4 of A250956

FORMULA

Empirical: a(n) = 27*a(n-1) -57*a(n-2) -46*a(n-3) +30*a(n-4)

EXAMPLE

Some solutions for n=2

..0..1..1..1..0....0..1..0..0..0....0..1..0..1..0....1..0..1..1..1

..1..1..0..0..0....0..0..0..0..0....1..1..0..0..1....1..1..1..0..0

..0..0..0..1..1....0..1..0..0..1....1..0..0..0..1....1..1..1..0..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Nov 28 2014

STATUS

approved

editing

#1 by R. H. Hardin at Fri Nov 28 20:57:21 EST 2014

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved