A236260 Number of (n+1)X(2+1) 0..3 arrays colored with the sets of distinct values in every 2X2 subblock, with new values 0..3 introduced row-major order

132, 3798, 112194, 3315908, 97991800, 2895999006, 85585437564, 2529318479252, 74749199254014, 2209071338350502, 65284922303876798, 1929372368329711092, 57018949807735356900, 1685087180086909787936, 49799563349399708870558

Offset

1,1

Comments

Column 2 of A236262

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +405*a(n-2) +1830*a(n-3) -4691*a(n-4) -47998*a(n-5) -55581*a(n-6) +505153*a(n-7) +1001824*a(n-8) -3123526*a(n-9) -5008625*a(n-10) +10507909*a(n-11) +11310434*a(n-12) -17345214*a(n-13) -7739207*a(n-14) +1315249*a(n-15) +11274820*a(n-16) -7267628*a(n-17) -6244408*a(n-18) +11830548*a(n-19) +7508592*a(n-20) -544968*a(n-21) for n>23

Example

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

Crossrefs

Sequence in context: A023902 A240270 A168180 * A264179 A228333 A035837

Adjacent sequences: A236257 A236258 A236259 * A236261 A236262 A236263

Keyword

nonn

Author

R. H. Hardin, Jan 21 2014

Status

approved