The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A232311 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A232311

Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero
(history; published version)

#10 by R. J. Mathar at Sun Nov 24 13:36:15 EST 2013

STATUS

editing

approved

#9 by R. J. Mathar at Sun Nov 24 13:36:10 EST 2013

FORMULA

Empirical: a(n) = 10*a(n-1) -11*a(n-2) -5*a(n-3) -a(n-4).

Empirical: G.f.: -x*(-16+21*x+12*x^2+2*x^3) / ( 1-10*x+11*x^2+5*x^3+x^4 ). - R. J. Mathar, Nov 24 2013

STATUS

approved

editing

#8 by R. H. Hardin at Fri Nov 22 09:51:00 EST 2013

STATUS

editing

approved

#7 by R. H. Hardin at Fri Nov 22 09:50:57 EST 2013

EXAMPLE

Some .solutions .for .n=45

..0..0..10..10....10..10..1..10....0..0..10..10....10..10..1..10....10..10..10..0

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

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

..0..0..1..1..0..10..1..10..10..0..1..1..0..0..1..0....1..0..0..1....0....0..0..1..10

..1..10..1..1....1..0..0..01..1..0..0..01..0..1..0..0..1..1....0....1..1..1..0

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

STATUS

approved

editing

#6 by R. H. Hardin at Fri Nov 22 09:11:48 EST 2013

STATUS

editing

approved

#5 by R. H. Hardin at Fri Nov 22 09:11:45 EST 2013

COMMENTS

Column 3 of A231316A232316

STATUS

approved

editing

#4 by R. H. Hardin at Fri Nov 22 08:56:19 EST 2013

STATUS

editing

approved

#3 by R. H. Hardin at Fri Nov 22 08:56:16 EST 2013

LINKS

R. H. Hardin, <a href="/A232311/b232311.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Fri Nov 22 08:56:00 EST 2013

NAME

allocated for R. H. Hardin

Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero

DATA

16, 139, 1202, 10409, 90157, 780922, 6764246, 58591124, 507509767, 4395993154, 38077604237, 329823977717, 2856898655026, 24746138781034, 214348305112232, 1856661207278099, 16082193123986242, 139302170295461137

OFFSET

1,1

COMMENTS

Column 3 of A231316

FORMULA

Empirical: a(n) = 10*a(n-1) -11*a(n-2) -5*a(n-3) -a(n-4)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Nov 22 2013

STATUS

approved

editing

#1 by R. H. Hardin at Fri Nov 22 08:53:02 EST 2013

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved