A202938 Number of (n+3)X10 binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column

234256, 468980, 991196, 2121734, 4457228, 9044252, 17632598, 33032581, 59606286, 103928266, 175657382, 288668270, 462498350, 724174382, 1110491348, 1670825921, 2470576996, 3595336728, 5155907272, 7294290974, 10190795144, 14072406776

Offset

1,1

Comments

Column 7 of A202939

Links

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

Formula

Empirical: a(n) = (1/151200)*n^10 + (1/840)*n^9 + (61/960)*n^8 + (47/28)*n^7 + (1307/50)*n^6 + (1296/5)*n^5 + (102078047/60480)*n^4 + (1210633/168)*n^3 + (91054793/3600)*n^2 + (2561054/35)*n + 126609

Example

Some solutions for n=3
..0..0..0..0..0..0..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..0..0..0..0..0..1..0..0
..0..0..0..0..0..0..0..1..1..1....0..0..0..0..0..0..1..1..1..0
..0..0..0..0..0..0..1..1..0..1....0..0..0..0..0..0..1..1..1..1
..0..0..0..0..0..0..1..0..0..1....0..0..0..0..0..0..1..1..1..1
..0..0..0..0..0..0..1..1..1..1....0..0..0..0..0..0..0..1..1..0

Crossrefs

Sequence in context: A224656 A250858 A233902 * A109690 A013905 A353634

Adjacent sequences: A202935 A202936 A202937 * A202939 A202940 A202941

Keyword

nonn

Author

R. H. Hardin Dec 26 2011

Status

approved