A302428 Number of 3 X n 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
4, 6, 11, 21, 38, 88, 188, 377, 735, 1557, 3288, 6781, 13628, 28203, 58716, 121753, 248505, 511788, 1057997, 2191020, 4502367, 9272331, 19120457, 39518063, 81408758, 167766247, 345763679, 713697958, 1471345608, 3033391563, 6252203749
Offset: 1
Keywords
Examples
Some solutions for n=5 ..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..0..0..1..0 ..0..1..0..1..0. .0..1..1..1..0. .0..1..0..1..0. .0..1..1..1..0 ..0..0..1..1..0. .0..0..0..1..0. .0..1..1..0..0. .0..1..0..1..0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A302427.
Formula
Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +12*a(n-4) -5*a(n-5) -7*a(n-6) +2*a(n-7) -26*a(n-8) +7*a(n-9) +14*a(n-10) -2*a(n-11) +18*a(n-12) -3*a(n-13) -9*a(n-14) +a(n-15) -3*a(n-16) +a(n-18) for n>19.
Comments