A206050 Number of (n+1)X5 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to one

7041, 180195, 4256868, 99399924, 2308027074, 53518920690, 1240395191991, 28744156779339, 666068301911073, 15434109289329492, 357636968027315673, 8287100648523035178, 192027148023559498374, 4449616587549453480153

Offset

1,1

Comments

Column 4 of A206054

Links

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

Formula

Empirical: a(n) = 36*a(n-1) -219*a(n-2) -3422*a(n-3) +37851*a(n-4) +59870*a(n-5) -1891840*a(n-6) +2993871*a(n-7) +43489357*a(n-8) -153973777*a(n-9) -448171340*a(n-10) +2886518872*a(n-11) +614484491*a(n-12) -27988642084*a(n-13) +30796257251*a(n-14) +149763089102*a(n-15) -329125675452*a(n-16) -403599878248*a(n-17) +1689166897434*a(n-18) +86297883518*a(n-19) -5122702486325*a(n-20) +3208152883621*a(n-21) +9229930244915*a(n-22) -11507913803738*a(n-23) -8249392965144*a(n-24) +20351491472398*a(n-25) -424045644155*a(n-26) -22701658457583*a(n-27) +11970329458650*a(n-28) +16509522154114*a(n-29) -18881474957145*a(n-30) -3600030294956*a(n-31) +12424769263635*a(n-32) -2684697625456*a(n-33) -3144213018500*a(n-34) +1567428910588*a(n-35) -98343947326*a(n-36) -91221023071*a(n-37) +96482807144*a(n-38) -52729523588*a(n-39) +9525869652*a(n-40) +885701841*a(n-41) -443275303*a(n-42) -66107024*a(n-43) +22913140*a(n-44) -2873160*a(n-45)

Example

Some solutions for n=4
..0..1..0..2..2....0..2..1..2..2....2..1..0..2..1....2..0..0..1..2
..0..1..2..2..1....2..2..1..1..1....2..2..2..2..0....2..0..1..1..1
..1..1..1..1..1....1..1..1..0..0....1..1..1..2..0....0..0..0..0..0
..1..2..2..2..1....1..2..1..0..2....0..0..1..2..2....0..1..2..2..2
..1..1..1..1..1....1..2..1..1..1....0..1..1..2..0....0..1..1..1..2

Crossrefs

Sequence in context: A236061 A317399 A116278 * A116332 A234545 A250850

Adjacent sequences: A206047 A206048 A206049 * A206051 A206052 A206053

Keyword

nonn

Author

R. H. Hardin Feb 03 2012

Status

approved