A275568 Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2.

12, 864, 1872, 4056, 13104, 42336, 138600, 453750, 1506450, 5001414, 16784592, 56328576, 190035408, 641121414, 2165870262, 7316857446, 24718829850, 83508603750, 282120696000, 953100441600, 3220293856320, 10880587258614

Offset

1,1

Comments

Row 5 of A275565.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +7*a(n-2) -153*a(n-3) +128*a(n-4) +1661*a(n-5) -2987*a(n-6) -11147*a(n-7) +31265*a(n-8) +44933*a(n-9) -209769*a(n-10) -65464*a(n-11) +988481*a(n-12) -428751*a(n-13) -3404950*a(n-14) +3691505*a(n-15) +8623905*a(n-16) -16041975*a(n-17) -15201775*a(n-18) +49315575*a(n-19) +13559611*a(n-20) -116797842*a(n-21) +18028343*a(n-22) +220372013*a(n-23) -106427533*a(n-24) -335355156*a(n-25) +260460612*a(n-26) +411365412*a(n-27) -446068765*a(n-28) -401412528*a(n-29) +590037487*a(n-30) +301637628*a(n-31) -624695552*a(n-32) -161284890*a(n-33) +539917211*a(n-34) +45168922*a(n-35) -388786164*a(n-36) +14654711*a(n-37) +240717215*a(n-38) -29174529*a(n-39) -133749307*a(n-40) +24747125*a(n-41) +68598600*a(n-42) -17271849*a(n-43) -31876238*a(n-44) +10697884*a(n-45) +12697117*a(n-46) -5593463*a(n-47) -4068750*a(n-48) +2346552*a(n-49) +972250*a(n-50) -764373*a(n-51) -148698*a(n-52) +187979*a(n-53) +5357*a(n-54) -33466*a(n-55) +3817*a(n-56) +3912*a(n-57) -1040*a(n-58) -228*a(n-59) +129*a(n-60) -6*a(n-61) -6*a(n-62) +a(n-63) for n>66

Example

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

Crossrefs

Cf. A275565.

Sequence in context: A207817 A349468 A203410 * A271433 A140412 A276013

Adjacent sequences: A275565 A275566 A275567 * A275569 A275570 A275571

Keyword

nonn

Author

R. H. Hardin, Aug 01 2016

Status

approved