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A207450 Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 1 vertically. 1
16, 256, 1008, 2560, 5200, 9216, 14896, 22528, 32400, 44800, 60016, 78336, 100048, 125440, 154800, 188416, 226576, 269568, 317680, 371200, 430416, 495616, 567088, 645120, 730000, 822016, 921456, 1028608, 1143760, 1267200, 1399216, 1540096 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A207453.

LINKS

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

FORMULA

Empirical: a(n) = 48*n^3 - 32*n^2.

Conjectures from Colin Barker, Jun 23 2018: (Start)

G.f.: 16*x*(1 + 12*x + 5*x^2) / (1 - x)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>4.

(End).

EXAMPLE

Some solutions for n=5:

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

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

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

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

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

CROSSREFS

Cf. A207453.

Sequence in context: A207771 A207898 A207658 * A208552 A267717 A223190

Adjacent sequences:  A207447 A207448 A207449 * A207451 A207452 A207453

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 17 2012

STATUS

approved

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Last modified October 6 12:35 EDT 2022. Contains 357264 sequences. (Running on oeis4.)