A232198 Number of (n+1)X(2+1) 0..2 arrays with every element both >= and <= some horizontal, vertical or antidiagonal neighbor

109, 2129, 39651, 745157, 14015499, 263553379, 4955798535, 93188421223, 1752307388503, 32950235075335, 619593351859825, 11650779532851601, 219080245401618255, 4119565886810925283, 77463958767778856465

Offset

1,1

Comments

Column 2 of A232204

Links

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

Formula

Empirical: a(n) = 22*a(n-1) -75*a(n-2) +344*a(n-3) -1273*a(n-4) +1509*a(n-5) -2550*a(n-6) +39*a(n-7) +29574*a(n-8) -2723*a(n-9) -82741*a(n-10) +9633*a(n-11) -172586*a(n-12) -214133*a(n-13) +806356*a(n-14) +160192*a(n-15) -604578*a(n-16) +485994*a(n-17) -509110*a(n-18) -512043*a(n-19) +1074037*a(n-20) -171816*a(n-21) -641277*a(n-22) +418326*a(n-23) -77850*a(n-24) +15796*a(n-25) +9294*a(n-26) -46219*a(n-27) +38217*a(n-28) -11332*a(n-29) -1277*a(n-30) +4309*a(n-31) -2609*a(n-32) +695*a(n-33) -134*a(n-34) -29*a(n-35) +21*a(n-36) -4*a(n-37) +2*a(n-38) for n>40

Example

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

Crossrefs

Sequence in context: A201849 A061724 A145852 * A232416 A333116 A278278

Adjacent sequences: A232195 A232196 A232197 * A232199 A232200 A232201

Keyword

nonn

Author

R. H. Hardin, Nov 20 2013

Status

approved