A305242 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4 or 8 king-move adjacent elements, with upper left element zero.

16, 64, 86, 273, 1134, 3288, 11731, 39986, 136448, 468584, 1601600, 5492380, 18813625, 64449531, 220814816, 756519295, 2591868086, 8879795487, 30422648705, 104229316206, 357094000366, 1223419607435, 4191489089288, 14360224506528

Offset

1,1

Comments

Column 5 of A305245.

Links

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

Formula

Empirical: a(n) = a(n-1) +7*a(n-2) +10*a(n-3) -2*a(n-4) -37*a(n-5) -73*a(n-6) -32*a(n-7) +81*a(n-8) +136*a(n-9) +94*a(n-10) +80*a(n-11) +98*a(n-12) -79*a(n-13) -230*a(n-14) -294*a(n-15) -395*a(n-16) -145*a(n-17) +212*a(n-18) +255*a(n-19) +184*a(n-20) +258*a(n-21) +300*a(n-22) -22*a(n-23) -40*a(n-24) -148*a(n-25) -222*a(n-26) -4*a(n-27) -28*a(n-28) +14*a(n-29) +6*a(n-30) +24*a(n-31) +26*a(n-32) -6*a(n-33) -4*a(n-34) for n>42

Example

Some solutions for n=5
..0..0..0..0..1. .0..0..0..1..0. .0..0..1..1..0. .0..0..0..0..1
..0..1..0..0..1. .0..1..0..0..1. .0..0..0..0..0. .0..0..0..0..1
..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
..0..0..0..1..0. .0..0..0..0..0. .1..0..0..0..0. .0..1..0..0..0
..1..1..0..0..0. .0..0..0..1..1. .1..0..0..0..0. .0..0..0..0..0

Crossrefs

Cf. A305245.

Sequence in context: A374291 A340588 A352475 * A039370 A324880 A304476

Adjacent sequences: A305239 A305240 A305241 * A305243 A305244 A305245

Keyword

nonn

Author

R. H. Hardin, May 28 2018

Status

approved