A208172 Number of nX5 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors

51, 33831, 26625693, 21002874867, 16567902881244, 13069424064243420, 10309684155118737894, 8132690993759302714128, 6415391762234363693863872, 5060717478941101906268770749, 3992096250836003074558657203441

Offset

1,1

Comments

Column 5 of A208175

Links

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

Formula

Empirical: a(n) = 846*a(n-1) -46537*a(n-2) +1162868*a(n-3) -17173907*a(n-4) +166807056*a(n-5) -1125592122*a(n-6) +5444000730*a(n-7) -19238506974*a(n-8) +50296239144*a(n-9) -97844056164*a(n-10) +140881555908*a(n-11) -146587250745*a(n-12) +104533491168*a(n-13) -46130948685*a(n-14) +10416243600*a(n-15) -863591625*a(n-16) for n>17

Example

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

Crossrefs

Sequence in context: A208861 A208869 A208876 * A200798 A241117 A255832

Adjacent sequences: A208169 A208170 A208171 * A208173 A208174 A208175

Keyword

nonn

Author

R. H. Hardin Feb 24 2012

Status

approved