A303194 Number of nX5 0..1 arrays with every element equal to 0, 1, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

8, 25, 43, 97, 523, 1751, 5573, 21575, 76833, 266179, 971949, 3482591, 12336431, 44409867, 159182895, 567732335, 2035296081, 7291955435, 26069806559, 93348365103, 334298657839, 1196193957779, 4282016007317, 15330901431591

Offset

1,1

Comments

Column 5 of A303197.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) +42*a(n-3) -52*a(n-4) -36*a(n-5) -601*a(n-6) +494*a(n-7) +501*a(n-8) +3674*a(n-9) -2252*a(n-10) -3728*a(n-11) -9746*a(n-12) +7102*a(n-13) +11972*a(n-14) +9668*a(n-15) -12696*a(n-16) -18552*a(n-17) -2516*a(n-18) +14464*a(n-19) +17480*a(n-20) +2144*a(n-21) -23696*a(n-22) -4528*a(n-23) +3152*a(n-24) +13280*a(n-25) -7136*a(n-26) -768*a(n-27) +7936*a(n-28) +768*a(n-29) +384*a(n-30) -5120*a(n-31) -256*a(n-32) +2048*a(n-33) for n>37

Example

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

Crossrefs

Cf. A303197.

Sequence in context: A161448 A031096 A373892 * A188819 A123605 A273743

Adjacent sequences: A303191 A303192 A303193 * A303195 A303196 A303197

Keyword

nonn

Author

R. H. Hardin, Apr 19 2018

Status

approved