A236139 Number of (n+1)X(1+1) 0..3 arrays colored with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock

256, 2976, 34734, 405132, 4726586, 55128306, 643062117, 7501428048, 87503440684, 1020696761684, 11906221249064, 138884581545880, 1620064510360004, 18897718794998460, 220438366796098656, 2571374957387040176

Offset

1,1

Comments

Column 1 of A236142

Links

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

Formula

Empirical: a(n) = 476*a(n-3) +6828*a(n-4) +42328*a(n-5) +261628*a(n-6) +939596*a(n-7) +1141424*a(n-8) -5531408*a(n-9) -77255920*a(n-10) -353396376*a(n-11) -894119952*a(n-12) -1389075520*a(n-13) +5482024400*a(n-14) +35751673856*a(n-15) +90044584192*a(n-16) +154625904768*a(n-17) -247634417920*a(n-18) -1941041280512*a(n-19) -3666475576320*a(n-20) -3881308749824*a(n-21) +10379052684288*a(n-22) +55618412687360*a(n-23) +57311677382656*a(n-24) -29077267808256*a(n-25) -220194357346304*a(n-26) -620840327184384*a(n-27) -114135561601024*a(n-28) +1580499698188288*a(n-29) +1200720990175232*a(n-30) -655072073613312*a(n-31) -1208870658637824*a(n-32) -1743801332793344*a(n-33) -259325561929728*a(n-34) +1825629737582592*a(n-35) +753137564516352*a(n-36) -225950646140928*a(n-37) -218161118969856*a(n-38) -176903260471296*a(n-39)

Example

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

Crossrefs

Sequence in context: A236592 A236589 A236142 * A235747 A235506 A235502

Adjacent sequences: A236136 A236137 A236138 * A236140 A236141 A236142

Keyword

nonn

Author

R. H. Hardin, Jan 19 2014

Status

approved