The On-Line Encyclopedia of Integer Sequences (OEIS)

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A189106

Number of nX4 binary arrays without the pattern 1 1 0 diagonally or antidiagonally
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:14 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Apr 16 2011

Discussion

Sat Mar 31

12:36

OEIS Server: https://oeis.org/edit/global/875

#4 by Ron Hardin at Sat Apr 16 17:05:14 EDT 2011

STATUS

proposed

approved

#3 by Ron Hardin at Sat Apr 16 17:05:11 EDT 2011

LINKS

R. H. Hardin, <a href="/A189106/b189106.txt">Table of n, a(n) for n = 1..200</a>

#2 by Ron Hardin at Sat Apr 16 17:04:52 EDT 2011

NAME

allocated for Ron HardinNumber of nX4 binary arrays without the pattern 1 1 0 diagonally or antidiagonally

DATA

16, 256, 2500, 23716, 207936, 1806336, 15523600, 133079296, 1138927504, 9743269264, 83333832976, 712693900944, 6094953689616, 52123490515600, 445753532991376, 3812020725166096, 32599837915279504, 278788946325939856

OFFSET

1,1

COMMENTS

Column 4 of A189111

FORMULA

Empirical: a(n) = 9*a(n-1) -18*a(n-3) +12*a(n-4) -1350*a(n-5) +300*a(n-6) +10000*a(n-7) -2448*a(n-8) -4968*a(n-9) +576*a(n-10) -71424*a(n-11) +30816*a(n-12) +71136*a(n-13) -56832*a(n-14) +206208*a(n-15) -93312*a(n-16) -201600*a(n-17) +182016*a(n-18) -281088*a(n-19) +64512*a(n-20) +348160*a(n-21) -221184*a(n-22) +110592*a(n-23) -270336*a(n-25) +147456*a(n-26) +98304*a(n-27) -65536*a(n-28)

EXAMPLE

Some solutions for 3X4

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Apr 16 2011

STATUS

approved

proposed

#1 by Ron Hardin at Sat Apr 16 17:01:04 EDT 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved