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A251677 Number of (n+2)X(3+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 or 4 1
953, 2089, 5527, 16467, 54523, 184139, 632811, 2196747, 7647815, 26675183, 93098207, 325011115, 1135034003, 3964108395, 13844422191, 48352496787, 168877391803, 589827645215, 2060055442119, 7195028701059, 25129660932207 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A251682

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +24*a(n-3) -40*a(n-4) +22*a(n-5) -166*a(n-6) +21*a(n-7) +156*a(n-8) +642*a(n-9) +622*a(n-10) -1123*a(n-11) -1546*a(n-12) -1437*a(n-13) +1903*a(n-14) +1798*a(n-15) +496*a(n-16) -1679*a(n-17) -1252*a(n-18) +2364*a(n-19) +3587*a(n-20) +2284*a(n-21) -2954*a(n-22) -4508*a(n-23) -3564*a(n-24) +52*a(n-25) +1420*a(n-26) +1536*a(n-27) +640*a(n-28) +352*a(n-29) +192*a(n-30) +128*a(n-31) +32*a(n-32) for n>37

EXAMPLE

Some solutions for n=4

..0..1..0..0..0....2..2..2..2..2....2..2..2..2..2....2..2..2..2..2

..1..0..0..1..0....1..2..2..2..2....2..2..2..2..2....1..2..2..2..2

..0..0..0..0..0....2..2..2..1..2....1..2..2..2..2....2..2..2..1..2

..0..0..0..0..0....2..2..2..2..2....2..2..1..2..2....2..2..2..2..2

..0..0..0..0..0....2..2..1..2..2....2..2..2..2..2....1..2..2..2..1

..0..1..0..0..1....1..2..2..2..1....2..1..2..2..2....2..2..2..2..2

CROSSREFS

Sequence in context: A285157 A096954 A048267 * A073500 A121969 A203024

Adjacent sequences:  A251674 A251675 A251676 * A251678 A251679 A251680

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 06 2014

STATUS

approved

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Last modified May 26 07:30 EDT 2017. Contains 287093 sequences.