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

4, 8, 38, 90, 363, 1163, 4151, 16054, 57977, 238042, 932432, 3836583, 15995213, 66369986, 282812398, 1194269858, 5105324531, 21834952869, 93482382103, 401775486130, 1724671120242, 7419913219654, 31917553521617, 137355079265693

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