The On-Line Encyclopedia of Integer Sequences (OEIS)

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A202465

Number of (n+2)X4 binary arrays with no more than two of any consecutive three bits set in any row or column
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:48 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Dec 19 2011

Discussion

Sat Mar 31

12:36

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

#4 by Ron Hardin at Mon Dec 19 12:50:29 EST 2011

STATUS

editing

approved

#3 by Ron Hardin at Mon Dec 19 12:50:22 EST 2011

LINKS

R. H. Hardin, <a href="/A202465/b202465.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Mon Dec 19 12:50:01 EST 2011

NAME

allocated for Ron HardinNumber of (n+2)X4 binary arrays with no more than two of any consecutive three bits set in any row or column

DATA

1573, 16561, 172197, 1774281, 18374521, 190112777, 1966463785, 20345296193, 210482281689, 2177526620233, 22527699867037, 233060360137857, 2411126165020333, 24944324990455409, 258061639015145685

OFFSET

1,1

COMMENTS

Column 2 of A202471

FORMULA

Empirical: a(n) = 4*a(n-1) +36*a(n-2) +272*a(n-3) +350*a(n-4) +392*a(n-5) -3016*a(n-6) -164*a(n-7) -5522*a(n-8) +11427*a(n-9) -4608*a(n-10) +10140*a(n-11) -11817*a(n-12) +4108*a(n-13) -2432*a(n-14) +1176*a(n-15) -166*a(n-16) +124*a(n-17) -50*a(n-18) +4*a(n-19) -2*a(n-20) +a(n-21)

EXAMPLE

Some solutions for n=2

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

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

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Dec 19 2011

STATUS

approved

editing

#1 by Ron Hardin at Mon Dec 19 12:45:33 EST 2011

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved