A298663 Number of nX4 0..1 arrays with every element equal to 0, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 1, 1, 2, 2, 9, 13, 26, 74, 134, 325, 731, 1568, 3625, 8039, 17982, 40534, 90659, 203629, 456958, 1025608, 2302082, 5167454, 11602659, 26043008, 58476012, 131288529, 294749848, 661837914, 1485958282, 3336440686, 7491565617

Offset

1,4

Comments

Column 4 of A298667.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +3*a(n-3) -19*a(n-4) -10*a(n-5) -3*a(n-6) +49*a(n-7) +21*a(n-8) +26*a(n-9) -57*a(n-10) -45*a(n-11) -44*a(n-12) +15*a(n-13) +27*a(n-14) +41*a(n-15) -4*a(n-16) +13*a(n-17) +32*a(n-18) -27*a(n-19) -87*a(n-20) -5*a(n-21) +52*a(n-22) +48*a(n-23) +24*a(n-24) +18*a(n-25) -27*a(n-26) -46*a(n-27) +11*a(n-28) +56*a(n-29) +5*a(n-30) -34*a(n-31) -21*a(n-32) -3*a(n-33) -a(n-34) +6*a(n-35)

Example

Some solutions for n=8
..0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0
..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1
..1..1..1..0. .0..1..1..1. .0..1..1..0. .0..1..1..0. .0..1..1..0
..0..1..1..1. .1..1..1..0. .1..1..1..1. .1..1..1..1. .1..1..1..1
..1..1..1..0. .0..1..1..1. .1..1..0..1. .0..1..1..0. .0..1..1..1
..1..0..1..1. .1..1..1..0. .0..1..1..1. .1..1..1..1. .1..1..1..0
..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1
..0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0

Crossrefs

Cf. A298667.

Sequence in context: A248665 A066324 A143146 * A325936 A185755 A278458

Adjacent sequences: A298660 A298661 A298662 * A298664 A298665 A298666

Keyword

nonn

Author

R. H. Hardin, Jan 24 2018

Status

approved