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

1,1

Comments

Column 3 of A239819

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) +24598571*a(n-13) -24037070*a(n-14) -20933507*a(n-15) +84761410*a(n-16) -76409880*a(n-17) -58972949*a(n-18) +191904430*a(n-19) -103074732*a(n-20) -119505780*a(n-21) +301528072*a(n-22) -71474328*a(n-23) -220257104*a(n-24) +158665984*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)

Example

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

Crossrefs

Sequence in context: A268786 A284196 A286723 * A166771 A264279 A296637

Adjacent sequences: A239811 A239812 A239813 * A239815 A239816 A239817

Keyword

nonn

Author

R. H. Hardin, Mar 27 2014

Status

approved