A231453 Number of (3+1)X(n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..3 introduced in row major order

23, 97, 340, 1598, 7429, 38713, 203544, 1116592, 6141306, 34257698, 191126299, 1071154974, 6002049087, 33680676363, 188974624430, 1060797185178, 5954331329744, 33427298420041, 187653887006857, 1053504015627831

Offset

1,1

Comments

Row 3 of A231451

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -98*a(n-2) +89*a(n-3) +1477*a(n-4) -6774*a(n-5) +6763*a(n-6) +33935*a(n-7) -128916*a(n-8) +139965*a(n-9) +176037*a(n-10) -696886*a(n-11) +653214*a(n-12) +448220*a(n-13) -1465090*a(n-14) +382602*a(n-15) +2507642*a(n-16) -3281972*a(n-17) -1254404*a(n-18) +7774064*a(n-19) -8914283*a(n-20) +3338707*a(n-21) +1875978*a(n-22) -1464609*a(n-23) -953048*a(n-24) -4244595*a(n-25) +22808249*a(n-26) -39715998*a(n-27) +27774265*a(n-28) +5600777*a(n-29) -21648222*a(n-30) +17178769*a(n-31) -17948507*a(n-32) +19578154*a(n-33) -18438017*a(n-34) +37572267*a(n-35) -39576730*a(n-36) -12133365*a(n-37) +29557691*a(n-38) -711514*a(n-39) +2342904*a(n-40) -5442342*a(n-41) -2472234*a(n-42) -222192*a(n-43) +73233*a(n-44) +583363*a(n-45) +103272*a(n-46) +121473*a(n-47) +60750*a(n-48) +19845*a(n-49) +6075*a(n-50) for n>51

Example

Some solutions for n=5
..0..0..1..1..1..2....0..0..0..1..1..2....0..0..1..1..0..0....0..0..0..0..0..0
..0..1..1..1..2..0....0..0..1..1..2..2....0..1..1..0..0..2....0..0..1..1..0..0
..1..1..1..2..0..0....0..0..3..3..1..1....2..2..3..3..2..2....1..1..1..2..2..0
..1..1..2..2..2..2....0..3..3..1..1..1....2..3..3..2..2..2....2..2..2..2..0..0

Crossrefs

Sequence in context: A158544 A154376 A155815 * A142132 A140375 A142173

Adjacent sequences: A231450 A231451 A231452 * A231454 A231455 A231456

Keyword

nonn

Author

R. H. Hardin, Nov 09 2013

Status

approved