A238770 Number of nX3 0..3 arrays with no element equal to the sum modulo 4 of elements to its left or elements above it

14, 156, 1888, 22242, 258720, 3044922, 35640158, 417759376, 4896355616, 57381427884, 672498981628, 7881524612006, 92368952604638, 1082538628472286, 12687046377009060, 148688524405160494, 1742587393576465646

Offset

1,1

Comments

Column 3 of A238775

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..3....3..1..2....3..1..2....1..2..1....1..2..2....1..2..1....3..1..1
..2..3..2....2..0..3....2..0..3....2..1..0....3..1..1....2..0..3....2..3..0
..3..2..0....3..0..0....3..0..2....1..2..0....3..1..2....1..0..3....2..1..0
..1..2..0....3..2..2....1..0..2....2..3..2....1..2..2....2..3..0....1..3..2

Crossrefs

Sequence in context: A001707 A078999 A016157 * A199703 A144166 A122187

Adjacent sequences: A238767 A238768 A238769 * A238771 A238772 A238773

Keyword

nonn

Author

R. H. Hardin, Mar 05 2014

Status

approved