A236315 - OEIS

%I #5 Jan 22 2014 05:34:06

%S 256,2744,29670,319908,3455790,37315466,402944837,4350716716,

%T 46978581048,507265724940,5477377343876,59143594434228,

%U 638621704015544,6895716020234136,74458666280964288,803990685332872440

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

%C Column 1 of A236319

%H R. H. Hardin, <a href="/A236315/b236315.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 300*a(n-3) +4564*a(n-4) +28820*a(n-5) +216768*a(n-6) +1031624*a(n-7) +4276184*a(n-8) +15735024*a(n-9) +32244972*a(n-10) +44841848*a(n-11) -168638080*a(n-12) -1418426096*a(n-13) -4394532000*a(n-14) -12233484448*a(n-15) -14152039936*a(n-16) +31757569408*a(n-17) +163131522176*a(n-18) +568598973184*a(n-19) +925201071616*a(n-20) -25721294080*a(n-21) -2879467072512*a(n-22) -11200138949632*a(n-23) -18962812807168*a(n-24) -4447890870272*a(n-25) +32571511898112*a(n-26) +105701567598592*a(n-27) +146966851649536*a(n-28) -5012524367872*a(n-29) -219492502077440*a(n-30) -369306855407616*a(n-31) -308262862061568*a(n-32) +256508641935360*a(n-33) +558195995049984*a(n-34) +102884746199040*a(n-35) -173582655160320*a(n-36) -60614806339584*a(n-37)

%e Some solutions for n=3

%e ..3..1....1..0....1..2....1..1....2..1....0..3....2..0....1..1....1..0....0..3

%e ..0..1....3..1....0..3....1..2....3..1....2..3....2..1....1..0....0..0....3..0

%e ..1..2....1..3....3..3....0..3....0..1....1..2....3..0....3..0....3..3....2..1

%e ..2..1....0..2....2..3....2..3....0..3....1..2....2..3....1..1....1..3....1..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 22 2014