A283343 Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

0, 26, 572, 7804, 106310, 1354928, 16714556, 201420678, 2383832160, 27824093298, 321172238658, 3673720138432, 41704604879690, 470412062965664, 5277001796062030, 58915371919958224, 655029886521975970

Offset

1,2

Comments

Column 4 of A283347.

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -20*a(n-2) -260*a(n-3) -1402*a(n-4) -642*a(n-5) +2210*a(n-6) +14686*a(n-7) -22971*a(n-8) -12276*a(n-9) -135115*a(n-10) +457628*a(n-11) -589163*a(n-12) +1592124*a(n-13) -5199987*a(n-14) +11546098*a(n-15) -25014241*a(n-16) +59528938*a(n-17) -134183673*a(n-18) +292740174*a(n-19) -619589652*a(n-20) +1221520984*a(n-21) -2269849168*a(n-22) +4040049416*a(n-23) -6659990695*a(n-24) +9756671026*a(n-25) -12470420635*a(n-26) +13724970116*a(n-27) -12836061141*a(n-28) +10304073698*a(n-29) -7475423051*a(n-30) +5092676376*a(n-31) -3088317260*a(n-32) +1568521200*a(n-33) -714987914*a(n-34) +316968660*a(n-35) -114489157*a(n-36) +25044786*a(n-37) -2313441*a(n-38)

Example

Some solutions for n=4
..1..0..0..0. .1..0..1..1. .0..1..1..1. .1..1..1..0. .1..1..0..1
..1..1..0..1. .0..1..0..0. .0..1..0..0. .1..0..0..0. .0..1..1..1
..1..0..1..0. .0..0..0..1. .0..0..1..1. .0..1..1..0. .0..0..0..0
..0..0..1..1. .1..1..1..1. .1..0..0..1. .0..1..0..0. .1..1..0..1

Crossrefs

Cf. A283347.

Sequence in context: A323492 A265461 A257518 * A160059 A323117 A293612

Adjacent sequences: A283340 A283341 A283342 * A283344 A283345 A283346

Keyword

nonn

Author

R. H. Hardin, Mar 05 2017

Status

approved