A239814 Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it, modulo 4.

10, 132, 1480, 17552, 204779, 2405330, 28156167, 330152684, 3868656623, 45340827197, 531385036815, 6227630455564, 72986367133614, 855377894814551, 10024792297748632, 117487669001323549, 1376922218413007325

Offset: 1

Author

R. H. Hardin, Mar 27 2014

Keywords

• nonn

Comments

Column 3 of A239819

Examples

			Some solutions for n=4
..3..2..0....3..2..2....3..2..3....3..0..0....3..2..2....3..0..0....2..0..3
..1..2..0....1..0..2....1..2..2....2..3..0....1..0..2....2..0..0....1..3..2
..3..0..2....3..0..2....3..2..0....3..1..3....3..2..3....1..0..2....3..1..3
..3..0..0....2..0..0....1..2..0....2..3..3....1..3..2....2..0..0....2..0..0
		

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +103*a(n-2) +305*a(n-3) -1576*a(n-4) -7517*a(n-5) +13822*a(n-6) +84263*a(n-7) -193487*a(n-8) -386588*a(n-9) +2125542*a(n-10) -2240531*a(n-11) -6903934*a(n-12) [phone]*a(n-13) -24037070*a(n-14) -20933507*a(n-15) [phone]*a(n-16) -76409880*a(n-17) -58972949*a(n-18) [phone]*a(n-19) -103074732*a(n-20) -119505780*a(n-21) [phone]*a(n-22) -71474328*a(n-23) -220257104*a(n-24) [phone]*a(n-25) -141276800*a(n-26) -317537024*a(n-27) -19131392*a(n-28) -71272448*a(n-29) -128999424*a(n-30) -20832256*a(n-31) -5177344*a(n-32) -4849664*a(n-33) +1048576*a(n-34) +524288*a(n-35)