A278153 Number of nX4 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

0, 22, 268, 3382, 43876, 571214, 7404889, 96014730, 1245182813, 16148180576, 209415726220, 2715786209858, 35219410286723, 456739471814363, 5923180934385869, 76814190061408485, 996157278817145623

Offset

1,2

Comments

Column 4 of A278157.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +37*a(n-2) +22*a(n-3) +38*a(n-4) -776*a(n-5) -2223*a(n-6) +2351*a(n-7) +5025*a(n-8) -2713*a(n-9) +12795*a(n-10) +7454*a(n-11) -23519*a(n-12) +8213*a(n-13) -30879*a(n-14) -42543*a(n-15) -34591*a(n-16) -4820*a(n-17) -44689*a(n-18) +21889*a(n-19) -23353*a(n-20) +18225*a(n-21) -11669*a(n-22) +8390*a(n-23) -3940*a(n-24) +1260*a(n-25) -632*a(n-26) -32*a(n-27) -19*a(n-28) -170*a(n-29) +68*a(n-30) -a(n-31)

Example

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

Crossrefs

Cf. A278157.

Sequence in context: A172242 A055756 A128766 * A223116 A125434 A023020

Adjacent sequences: A278150 A278151 A278152 * A278154 A278155 A278156

Keyword

nonn

Author

R. H. Hardin, Nov 13 2016

Status

approved