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A203041 Number of (n+3) X 4 binary arrays with no more than one of any consecutive four bits set in any row or column. 1
209, 637, 2005, 6365, 19957, 62393, 195261, 612041, 1918365, 6011045, 18832757, 59007013, 184888993, 579320337, 1815187133, 5687517861, 17820706801, 55837720705, 174956625753, 548192325273, 1717653145453, 5381929652993 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A203048.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 2*a(n-1) + 2*a(n-2) + a(n-3) + 10*a(n-4) + 7*a(n-5) - 4*a(n-7) - a(n-8).

Empirical g.f.: x*(209 + 219*x + 313*x^2 + 872*x^3 + 490*x^4 - 89*x^5 - 313*x^6 - 73*x^7) / (1 - 2*x - 2*x^2 - x^3 - 10*x^4 - 7*x^5 + 4*x^7 + x^8). - Colin Barker, Jun 03 2018

EXAMPLE

Some solutions for n=3:

  0 1 0 0    0 0 0 1    0 1 0 0    0 0 1 0    0 1 0 0

  0 0 0 1    0 1 0 0    0 0 0 0    0 0 0 0    1 0 0 0

  0 0 0 0    0 0 1 0    0 0 0 0    0 0 0 0    0 0 1 0

  0 0 0 0    0 0 0 0    0 0 0 0    0 1 0 0    0 0 0 1

  0 0 1 0    1 0 0 0    0 0 1 0    1 0 0 0    0 0 0 0

  0 0 0 1    0 0 0 0    0 0 0 1    0 0 1 0    1 0 0 0

CROSSREFS

Cf. A203048.

Sequence in context: A316761 A260011 A203048 * A293981 A181623 A104874

Adjacent sequences:  A203038 A203039 A203040 * A203042 A203043 A203044

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 27 2011

STATUS

approved

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Last modified May 21 17:37 EDT 2022. Contains 353921 sequences. (Running on oeis4.)