A237232 Number of (n+1) X (6+1) 0..2 arrays with the maximum plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

28912, 120540, 269844, 671080, 1737372, 5016852, 13078228, 34663620, 93075252, 252437984, 674728104, 1815877108, 4898412064, 13182357508, 35265033144, 95378791936, 256131894912, 690260009684, 1852770334916, 5004415058468

Offset

1,1

Comments

Column 6 of A237234.

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +24*a(n-4) +3*a(n-5) +4*a(n-6) +123*a(n-7) -513*a(n-9) +393*a(n-10) -1940*a(n-11) -6553*a(n-12) -2329*a(n-13) -21264*a(n-14) -12956*a(n-15) +6136*a(n-16) -13278*a(n-17) -21758*a(n-18) +155426*a(n-19) -77448*a(n-20) +448608*a(n-21) +574916*a(n-22) +20728*a(n-23) +1436288*a(n-24) +23184*a(n-25) +245120*a(n-26) +187872*a(n-27) +671424*a(n-28) +16128*a(n-29) +424000*a(n-30) -66048*a(n-31) +82944*a(n-32) +101376*a(n-34) for n>40.

Example

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

Crossrefs

Cf. A237234.

Sequence in context: A250011 A237727 A252319 * A031636 A364720 A235820

Adjacent sequences: A237229 A237230 A237231 * A237233 A237234 A237235

Keyword

nonn

Author

R. H. Hardin, Feb 05 2014

Status

approved