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A208311 Number of n X 5 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors. 1
16, 162, 1446, 12474, 106488, 906120, 7702668, 65459016, 556238664, 4726531278, 40162523382, 341270401878, 2899853256528, 24640717614786, 209377814555934, 1779131166029946, 15117684272558352, 128458419414226920 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A208314.

LINKS

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

FORMULA

Empirical: a(n) = 17*a(n-1) - 105*a(n-2) + 354*a(n-3) - 756*a(n-4) + 1062*a(n-5) - 945*a(n-6) + 459*a(n-7) - 81*a(n-8).

Empirical g.f.: 2*x*(8 - 55*x + 186*x^2 - 381*x^3 + 504*x^4 - 405*x^5 + 162*x^6 - 27*x^7) / ((1 - 3*x + 3*x^2)*(1 - 14*x + 60*x^2 - 132*x^3 + 180*x^4 - 126*x^5 + 27*x^6)). - Colin Barker, Jul 02 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

CROSSREFS

Cf. A208314.

Sequence in context: A259547 A211558 A333062 * A232333 A091363 A225897

Adjacent sequences:  A208308 A208309 A208310 * A208312 A208313 A208314

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 25 2012

STATUS

approved

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Last modified October 25 11:29 EDT 2021. Contains 348251 sequences. (Running on oeis4.)