A296382 Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 or 2 neighboring 1s.

7, 86, 641, 5389, 46786, 396806, 3372222, 28724880, 244493344, 2080775186, 17710856679, 150745976707, 1283059791408, 10920700369726, 92950990770280, 791147175119992, 6733806323357454, 57314429158782333, 487828657283652834

Offset

1,1

Comments

Column 4 of A296386.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -2*a(n-2) +75*a(n-3) -197*a(n-4) +252*a(n-5) -1107*a(n-6) +3425*a(n-7) -6602*a(n-8) +15369*a(n-9) -31274*a(n-10) +22613*a(n-11) +45962*a(n-12) -108142*a(n-13) +16011*a(n-14) +214719*a(n-15) -292372*a(n-16) +9905*a(n-17) +368773*a(n-18) -402405*a(n-19) +88356*a(n-20) +176962*a(n-21) -185191*a(n-22) +84604*a(n-23) -32156*a(n-24) +17517*a(n-25) +3087*a(n-26) -21538*a(n-27) +22352*a(n-28) -12344*a(n-29) +3431*a(n-30) +963*a(n-31) -2338*a(n-32) +2179*a(n-33) -1424*a(n-34) +722*a(n-35) -308*a(n-36) +116*a(n-37) -36*a(n-38) +8*a(n-39) -a(n-40)

Example

Some solutions for n=5
..0..0..1..1. .1..0..0..0. .1..1..1..0. .1..1..0..1. .1..1..0..0
..1..0..0..1. .1..0..0..0. .0..0..0..0. .0..1..0..1. .0..0..1..1
..1..0..0..0. .1..0..1..1. .1..1..0..1. .1..0..1..0. .0..1..0..0
..1..0..0..1. .0..0..0..0. .0..0..1..0. .0..1..0..0. .0..1..0..0
..0..1..1..0. .1..1..1..1. .0..0..0..0. .0..1..0..0. .1..0..1..1

Crossrefs

Cf. A296386.

Sequence in context: A102923 A220246 A196257 * A296639 A220306 A344106

Adjacent sequences: A296379 A296380 A296381 * A296383 A296384 A296385

Keyword

nonn

Author

R. H. Hardin, Dec 11 2017

Status

approved