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A253037 Number of (n+2)X(1+2) 0..3 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order 1
130, 341, 928, 2638, 7608, 22304, 65765, 195277, 582025, 1739571, 5208638, 15614748, 46850138, 140636244, 422341551, 1268587807, 3811207227, 11450967363, 34408283600, 103394858790, 310709678538, 933719999422, 2806003978481 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A253044

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +8*a(n-2) -32*a(n-3) -49*a(n-4) +35*a(n-5) +388*a(n-6) +333*a(n-7) -1470*a(n-8) -2015*a(n-9) +1827*a(n-10) +7705*a(n-11) +2724*a(n-12) -22079*a(n-13) -17133*a(n-14) +43082*a(n-15) +66963*a(n-16) -35868*a(n-17) -207245*a(n-18) -79740*a(n-19) +352817*a(n-20) +377343*a(n-21) -206023*a(n-22) -735286*a(n-23) -244312*a(n-24) +744588*a(n-25) +589880*a(n-26) -341664*a(n-27) -577644*a(n-28) +32392*a(n-29) +309128*a(n-30) +20704*a(n-31) -83712*a(n-32) -4480*a(n-33) +8832*a(n-34) for n>35

EXAMPLE

Some solutions for n=4

..0..1..1....0..1..0....0..1..1....0..0..1....0..1..1....0..0..1....0..0..1

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

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

..2..2..0....1..1..2....0..1..0....2..3..2....0..1..1....0..2..0....1..1..0

..2..0..0....1..1..0....2..2..1....2..2..3....0..1..1....0..0..3....1..0..1

..1..2..2....2..0..2....2..2..0....1..3..3....2..0..0....2..2..3....3..1..1

CROSSREFS

Sequence in context: A252361 A252082 A253044 * A281209 A253036 A187723

Adjacent sequences:  A253034 A253035 A253036 * A253038 A253039 A253040

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 26 2014

STATUS

approved

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Last modified June 15 12:29 EDT 2021. Contains 345048 sequences. (Running on oeis4.)