A236589 Number of (n+1) X (1+1) 0..3 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2 X 2 subblock.

256, 2968, 34800, 407904, 4780656, 55986224, 655930368, 7685235904, 90037710464, 1054811272960, 12357825358592, 144781117170688, 1696198775571712, 19871949941985280, 232812478778894336, 2727546891954062336

Offset

1,1

Comments

Column 1 of A236592.

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +528*a(n-3) +6528*a(n-4) +39472*a(n-5) +225040*a(n-6) +774864*a(n-7) +1618048*a(n-8) +1466048*a(n-9) -12905216*a(n-10) -50848448*a(n-11) -64647040*a(n-12) -17521664*a(n-13) +300384512*a(n-14) +767878144*a(n-15) +186081280*a(n-16) -631834624*a(n-17) -1580728320*a(n-18) -2220163072*a(n-19) +2168782848*a(n-20) +2489057280*a(n-21) -1160773632*a(n-22).

Example

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

Crossrefs

Cf. A236592.

Sequence in context: A236198 A236195 A236592 * A236142 A236139 A235747

Adjacent sequences: A236586 A236587 A236588 * A236590 A236591 A236592

Keyword

nonn

Author

R. H. Hardin, Jan 29 2014

Status

approved