A274802 Number of nX7 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) (0,-1) or (-1,0) and new values introduced in order 0..2.

32, 448, 5888, 85504, 1252608, 18476064, 273764292, 4044928780, 59936952948, 886462457880, 13127736774888, 194250101777432, 2875817749885724, 42561628448681904, 630035159343912668, 9325142535870239784

Offset

1,1

Comments

Column 7 of A274803.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +182*a(n-2) +434*a(n-3) -4080*a(n-4) -11758*a(n-5) +15420*a(n-6) +64260*a(n-7) +38245*a(n-8) -87869*a(n-9) -225572*a(n-10) -13082*a(n-11) +255188*a(n-12) -3166*a(n-13) -19321*a(n-14) +49122*a(n-15) -82502*a(n-16) -88689*a(n-17) +115251*a(n-18) -9925*a(n-19) -4172*a(n-20) -937*a(n-21) -317*a(n-22) +140*a(n-23) -94*a(n-24) +6*a(n-25) for n>26

Example

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

Crossrefs

Cf. A274803.

Sequence in context: A160142 A159544 A135217 * A274748 A283811 A066580

Adjacent sequences: A274799 A274800 A274801 * A274803 A274804 A274805

Keyword

nonn

Author

R. H. Hardin, Jul 07 2016

Status

approved