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A231465 Number of (2+1)X(n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order 1
4, 8, 38, 90, 363, 1163, 4151, 16054, 57977, 238042, 932432, 3836583, 15995213, 66369986, 282812398, 1194269858, 5105324531, 21834952869, 93482382103, 401775486130, 1724671120242, 7419913219654, 31917553521617, 137355079265693 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 2 of A231463

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) +15*a(n-2) -167*a(n-3) -164*a(n-4) +2252*a(n-5) +1016*a(n-6) -19092*a(n-7) -3372*a(n-8) +110426*a(n-9) +7229*a(n-10) -476069*a(n-11) -5821*a(n-12) +1579769*a(n-13) -6768*a(n-14) -4121058*a(n-15) -8571*a(n-16) +8605523*a(n-17) +144802*a(n-18) -14603860*a(n-19) -452700*a(n-20) +20417020*a(n-21) +778535*a(n-22) -23687301*a(n-23) -869454*a(n-24) +22835452*a(n-25) +638591*a(n-26) -18237245*a(n-27) -206165*a(n-28) +11922975*a(n-29) -148812*a(n-30) -6238980*a(n-31) +241061*a(n-32) +2535855*a(n-33) -158253*a(n-34) -766935*a(n-35) +61092*a(n-36) +160434*a(n-37) -13203*a(n-38) -20493*a(n-39) +1215*a(n-40) +1215*a(n-41)

EXAMPLE

Some solutions for n=7

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

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

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

CROSSREFS

Sequence in context: A003049 A098563 A231398 * A208820 A032301 A032213

Adjacent sequences:  A231462 A231463 A231464 * A231466 A231467 A231468

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 09 2013

STATUS

approved

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Last modified August 16 15:34 EDT 2022. Contains 356168 sequences. (Running on oeis4.)