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A202936 Number of (n+3) X 8 binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column. 1
160000, 273683, 481798, 857408, 1515902, 2631416, 4457228, 7350643, 11802908, 18474721, 28237922, 42223978, 61879898, 89032238, 125959880, 175476293, 241022008, 326768063, 437731198, 579901604, 760384054, 987553268, 1271224388 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A202939.

LINKS

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

FORMULA

Empirical: a(n) = (1/1680)*n^8 + (17/210)*n^7 + (134/45)*n^6 + (256/5)*n^5 + (352481/720)*n^4 + (55381/20)*n^3 + (32201731/2520)*n^2 + (19670981/420)*n + 97073.

Conjectures from Colin Barker, Jun 03 2018: (Start)

G.f.: x*(160000 - 1166317*x + 3778651*x^2 - 7066186*x^3 + 8314586*x^4 - 6291988*x^5 + 2987174*x^6 - 812969*x^7 + 97073*x^8) / (1 - x)^9.

a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9) for n>9.

(End)

EXAMPLE

Some solutions for n=1:

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

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

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

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

CROSSREFS

Cf. A202939.

Sequence in context: A268910 A223286 A223483 * A251971 A013897 A205742

Adjacent sequences:  A202933 A202934 A202935 * A202937 A202938 A202939

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 26 2011

STATUS

approved

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Last modified December 12 12:50 EST 2019. Contains 329958 sequences. (Running on oeis4.)