A205023 Number of (n+1)X5 0..3 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards

84899, 3684581, 198539736, 11646996582, 674941613200, 42501311863619, 2691721552273415, 175740162358914695, 11510356371106237907, 760827810613520044024, 50362218578594830116067, 3342532135156871144629046

Offset

1,1

Comments

Column 4 of A205027

Links

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

Formula

Empirical: a(n) = 152*a(n-1) -6628*a(n-2) -50944*a(n-3) +11406458*a(n-4) -252518896*a(n-5) -2294595628*a(n-6) +166530343040*a(n-7) -1828860121345*a(n-8) -18981736246824*a(n-9) +597882616739352*a(n-10) -3642009282233856*a(n-11) -32565329724412800*a(n-12) +593457284242603008*a(n-13) -2538483615637337088*a(n-14) -10001514286366212096*a(n-15) +142621651330939957248*a(n-16) -477525711489887010816*a(n-17) -424667682925186940928*a(n-18) +7887192489555039092736*a(n-19) -24481356929603642327040*a(n-20) +32105206645249693188096*a(n-21) -8190685624175847014400*a(n-22) -19886468656570092748800*a(n-23) +13337665989349736448000*a(n-24) for n>39

Example

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

Crossrefs

Sequence in context: A202615 A244351 A232704 * A207298 A236668 A194777

Adjacent sequences: A205020 A205021 A205022 * A205024 A205025 A205026

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved