|
%I #5 Jan 19 2014 10:26:50
%S 256,2976,34734,405132,4726586,55128306,643062117,7501428048,
%T 87503440684,1020696761684,11906221249064,138884581545880,
%U 1620064510360004,18897718794998460,220438366796098656,2571374957387040176
%N 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
%C Column 1 of A236142
%H R. H. Hardin, <a href="/A236139/b236139.txt">Table of n, a(n) for n = 1..210</a>
%F 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)
%e Some solutions for n=3
%e ..3..2....3..2....1..0....2..0....1..3....3..3....1..1....0..1....1..2....2..0
%e ..0..2....2..3....1..0....3..1....0..3....3..3....0..0....3..0....3..1....1..2
%e ..0..2....1..3....3..1....3..1....0..1....2..1....1..0....0..2....1..1....3..3
%e ..0..1....3..1....2..0....1..2....2..2....0..0....0..2....1..1....1..0....3..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 19 2014
| 