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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. 1
12, 864, 1872, 4056, 13104, 42336, 138600, 453750, 1506450, 5001414, 16784592, 56328576, 190035408, 641121414, 2165870262, 7316857446, 24718829850, 83508603750, 282120696000, 953100441600, 3220293856320, 10880587258614 (list; graph; refs; listen; history; text; internal format)
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: A280333 A207817 A203410 * A271433 A140412 A276013

Adjacent sequences:  A275565 A275566 A275567 * A275569 A275570 A275571

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 01 2016

STATUS

approved

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Last modified September 19 21:42 EDT 2020. Contains 337184 sequences. (Running on oeis4.)