A269039 Number of 5Xn 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

0, 1944, 12228, 146064, 1326576, 13031664, 119790816, 1105914780, 9987532176, 89650751964, 796324353216, 7029528437100, 61650349082232, 537978900955440, 4672818187679448, 40427882184540648, 348530963947264848

Offset

1,2

Comments

Row 5 of A269035.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +26*a(n-2) -566*a(n-3) -123*a(n-4) +8804*a(n-5) -4121*a(n-6) -59620*a(n-7) +55115*a(n-8) +183692*a(n-9) -256127*a(n-10) -211910*a(n-11) +498819*a(n-12) -48036*a(n-13) -371692*a(n-14) +214008*a(n-15) +43848*a(n-16) -64656*a(n-17) +8640*a(n-18) +5184*a(n-19) -1296*a(n-20) for n>22

Example

Some solutions for n=4
..0..1..2..1. .0..0..0..1. .0..0..0..1. .2..1..0..0. .2..1..2..1
..2..1..2..1. .1..1..0..1. .0..0..0..0. .2..1..0..0. .0..1..0..1
..0..1..2..1. .0..0..0..1. .0..0..0..1. .2..1..0..1. .0..0..0..0
..2..1..2..2. .0..1..0..1. .0..0..0..1. .0..1..2..2. .1..0..1..2
..2..1..0..1. .0..1..2..1. .1..0..1..0. .2..1..2..1. .1..2..1..2

Crossrefs

Cf. A269035.

Sequence in context: A203890 A200656 A201047 * A300199 A252151 A235003

Adjacent sequences: A269036 A269037 A269038 * A269040 A269041 A269042

Keyword

nonn

Author

R. H. Hardin, Feb 18 2016

Status

approved