A202935 Number of (n+3) X 7 binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column.

130321, 206145, 330853, 533832, 857408, 1360328, 2121734, 3245653, 4866027, 7152307, 10315635, 14615638, 20367858, 27951842, 37819916, 50506667, 66639157, 86947893, 112278577, 143604660, 182040724, 228856716, 285493058, 353576657

Offset

1,1

Comments

Column 4 of A202939.

Links

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

Formula

Empirical: a(n) = (1/210)*n^7 + (11/20)*n^6 + (81/5)*n^5 + (1713/8)*n^4 + (90179/60)*n^3 + (337713/40)*n^2 + (15214631/420)*n + 83919.

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

G.f.: x*(130321 - 836423*x + 2330681*x^2 - 3638908*x^3 + 3428986*x^4 - 1947234*x^5 + 616520*x^6 - 83919*x^7) / (1 - x)^8.

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8.

(End)

Example

Some solutions for n=1:
..0..0..0..0..1..1..1....0..0..0..1..0..0..0....0..0..0..1..1..0..1
..0..0..0..1..0..0..0....0..0..0..0..1..0..1....0..0..0..1..1..0..0
..0..0..0..0..0..0..1....0..0..0..1..0..0..0....0..0..0..1..0..1..1
..0..0..1..1..1..1..1....0..1..1..1..1..1..1....0..0..0..0..0..1..0

Crossrefs

Cf. A202939.

Sequence in context: A210273 A250961 A225026 * A013893 A013693 A103534

Adjacent sequences: A202932 A202933 A202934 * A202936 A202937 A202938

Keyword

nonn

Author

R. H. Hardin, Dec 26 2011

Status

approved