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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 1
23, 97, 340, 1598, 7429, 38713, 203544, 1116592, 6141306, 34257698, 191126299, 1071154974, 6002049087, 33680676363, 188974624430, 1060797185178, 5954331329744, 33427298420041, 187653887006857, 1053504015627831 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 17 16:38 EDT 2019. Contains 325107 sequences. (Running on oeis4.)